Remove Duplicates from Table - No Cursors

DELETE FROM
t1
FROM
MyTable t1
INNER JOIN
(
SELECT
MIN(FieldID) AS FieldID,
FieldWithDupes1,
FieldWithDupes2,
FieldWithDupes3
FROM
MyTable
GROUP BY
FieldWithDupes1,
FieldWithDupes2,
FieldWithDupes3
HAVING
COUNT(*) > 1
) t2
ON(
t1.FieldWithDupes1 = t2.FieldWithDupes1
AND t1.FieldWithDupes2 = t2.FieldWithDupes2
AND t1.FieldWithDupes3 = t2.FieldWithDupes3
AND t1.FieldID <> t2.FieldID
)