How do we know the significance of Old Testament prophecies?

The Old Testament scriptures are as inspired as the New Testament and serve to foreshadow the truths presented in the gospel. For instance, Lamech's prophetic statement about Noah serves to highlight the overarching narrative of God's plan for salvation through Jesus Christ. According to Paul in Galatians 3, the law reveals our sin and the curse, but Christ redeems us from that curse (Galatians 3:10-14), illustrating how Old Testament prophecies are integral to understanding redemption's fulfillment in Christ.