"Through nature, through types and symbols, through patriarchs and prophets, God had spoken to the world. Lessons must be given to humanity in the language of humanity. The Messenger of the covenant must speak. His voice must be heard in His own temple. Christ must come to utter words which should be clearly and definitely understood. He, the author of truth, must separate truth from the chaff of man's utterance, which had made it of no effect. The principles of God's government and the plan of redemption must be clearly defined. The lessons of the Old Testament must be fully set before men. DA 34.1"
"God, who at sundry times and in divers manners spake in time past unto the fathers by the prophets, Hath in these last days spoken unto us by his Son, whom he hath appointed heir of all things, by whom also he made the worlds;"
Both passages contrast God speaking through various means in the past with God speaking through Jesus. Hebrews 1:1-2 explicitly states this, and EGW echoes this sentiment by saying Christ must come to utter words that should be clearly understood.
Among the Jews there were yet steadfast souls, descendants of that holy line through whom a knowledge of God had been preserved. These still looked for the hope of the promise made unto the fathers. They strengthened their faith by dwelling upon the assurance given through Moses, “A Prophet shall the Lord your God raise up unto you of your brethren, like unto me; Him shall ye hear in all things whatsoever He shall say unto you.” Acts 3:22 . Again, they read how the Lord would anoint One “to preach good tidings unto the meek,” “to bind up the brokenhearted, to proclaim liberty to the captives,” and to declare the “acceptable year of the Lord.” Isaiah 61:1, 2 . They read how He would “set judgment in the earth,” how the isles should “wait for His law,” how the Gentiles should come to His light, and kings to the brightness of His rising. Isaiah 42:4 ; 60:3 . DA 34.2 The dying words of Jacob filled them with hope: “The scepter shall not depart from Judah, nor a lawgiver from between his fe…
"For Moses truly said unto the fathers, A prophet shall the Lord your God raise up unto you of your brethren, like unto me; him shall ye hear in all things whatsoever he shall say unto you."
Ellen White directly references Acts 3:22 in this passage.
"He shall not fail nor be discouraged, till he have set judgment in the earth: and the isles shall wait for his law."
Ellen White directly references Isaiah 42:4 in this passage.
"The sceptre shall not depart from Judah, nor a lawgiver from between his feet, until Shiloh come; and unto him shall the gathering of the people be."
Ellen White directly references Genesis 49:10 in this passage.
"And in the days of these kings shall the God of heaven set up a kingdom, which shall never be destroyed: and the kingdom shall not be left to other people, but it shall break in pieces and consume all these kingdoms, and it shall stand for ever."
Ellen White directly references Daniel 2:44 in this passage.
"The fullness of the time had come. Humanity, becoming more degraded through ages of transgression, called for the coming of the Redeemer. Satan had been working to make the gulf deep and impassable between earth and heaven. By his falsehoods he had emboldened men in sin. It was his purpose to wear out the forbearance of God, and to extinguish His love for man, so that He would abandon the world to satanic jurisdiction. DA 34.4"
"But when the fulness of the time was come, God sent forth his Son, made of a woman, made under the law,"
EGW directly references the concept of the "fullness of time" and connects it to the coming of the Redeemer, which is the central theme of Galatians 4:4. The context is very similar.