Mark places one$-$page, $4-$color advertisements for a new kind of projector in $2$ magazines: Adventures & Cautionary Tales $($ACT$),$ which reaches $44,000$ people, and Horrors of the Silver Screen $($HSS$),$ which delivers a readership of $54,000$ per issue. He estimates that $12\%$ of the readers of Horrors of the Silver Screen also read Adventures & Cautionary Tales.

If HSS charges $$1,000$ per ad$,$ what price per ad would Mark have to negotiate with ACT to provide the same CPM as HSS$?$