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Finding the Fourth Proportional to 1,192.82, 1,646 and 668.75

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Solution

The fourth proportional to 1,192.82, 1,646 and 668.75 is: 922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.82 : 1,646 = 668.75 : x
  2. Step 2: Convert to fraction form
    1,192.82/1,646 = 668.75/x
  3. Step 3: Cross multiply
    1,192.82x = 1,646 × 668.75
  4. Step 4: Simplify right side
    1,192.82x = 1,100,762.50
  5. Step 5: Solve for x
    x = 1,100,762.50/1,192.82
  6. Step 6: Final answer
    x = 922.82

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