'Establish' in the Bible

That Yahweh may establish his word which he spoke concerning me, saying, 'If your children take heed to their way, to walk before me in truth with all their heart and with all their soul, there shall not fail you,' he said, 'a man on the throne of Israel.'

"Concerning this house which you are building, if you will walk in my statutes, and execute my ordinances, and keep all my commandments to walk in them; then will I establish my word with you, which I spoke to David your father.

then I will establish the throne of your kingdom over Israel forever, according as I promised to David your father, saying, 'There shall not fail you a man on the throne of Israel.'

So the king didn't listen to the people; for it was a thing brought about of Yahweh, that he might establish his word, which Yahweh spoke by Ahijah the Shilonite to Jeroboam the son of Nebat.

Nevertheless for David's sake did Yahweh his God give him a lamp in Jerusalem, to set up his son after him, and to establish Jerusalem;