Why did Japan choose to build a missile base on Ishigaki Island?

Japan chose to build a missile base on Ishigaki Island, precisely because of the important strategic position of Ishigaki Island. Ishigaki Island is the third largest island in Okinawa Prefecture, Japan. Although it belongs to Okinawa in administrative divisions, it is 410 kilometers away from Naha City in Okinawa and 2,000 kilometers away from Tokyo, the capital of Japan. On the contrary, Ishigaki Island is quite close to China. The closest distance to Taiwan Island of China is only 270 kilometers, and the straight-line distance to Fujian in mainland China is only about 500 kilometers. It can be said that its special geographical location also determines its strategic value. Ishigaki Island is an outpost that Japan went deep into China.