'Established' in the Bible

Now, O LORD God, let thy promise unto David my father be established: for thou hast made me king over a people like the dust of the earth in multitude.

And it came to pass, when Rehoboam had established the kingdom, and had strengthened himself, he forsook the law of the LORD, and all Israel with him.

And they rose early in the morning, and went forth into the wilderness of Tekoa: and as they went forth, Jehoshaphat stood and said, Hear me, O Judah, and ye inhabitants of Jerusalem; Believe in the LORD your God, so shall ye be established; believe his prophets, so shall ye prosper.

Now it came to pass, when the kingdom was established to him, that he slew his servants that had killed the king his father.

So they established a decree to make proclamation throughout all Israel, from Beersheba even to Dan, that they should come to keep the passover unto the LORD God of Israel at Jerusalem: for they had not done it of a long time in such sort as it was written.