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Finding the Fourth Proportional to 1,078.31, 1,616.95 and 493.14

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Solution

The fourth proportional to 1,078.31, 1,616.95 and 493.14 is: 739.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.31 : 1,616.95 = 493.14 : x
  2. Step 2: Convert to fraction form
    1,078.31/1,616.95 = 493.14/x
  3. Step 3: Cross multiply
    1,078.31x = 1,616.95 × 493.14
  4. Step 4: Simplify right side
    1,078.31x = 797,382.72
  5. Step 5: Solve for x
    x = 797,382.72/1,078.31
  6. Step 6: Final answer
    x = 739.47

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