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Finding the Fourth Proportional to 1,078.36, 1,616.25 and 493.19

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Solution

The fourth proportional to 1,078.36, 1,616.25 and 493.19 is: 739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.36 : 1,616.25 = 493.19 : x
  2. Step 2: Convert to fraction form
    1,078.36/1,616.25 = 493.19/x
  3. Step 3: Cross multiply
    1,078.36x = 1,616.25 × 493.19
  4. Step 4: Simplify right side
    1,078.36x = 797,118.17
  5. Step 5: Solve for x
    x = 797,118.17/1,078.36
  6. Step 6: Final answer
    x = 739.19

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