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Finding the Fourth Proportional to 781.83, 1,174.38 and 493.47

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Solution

The fourth proportional to 781.83, 1,174.38 and 493.47 is: 741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.83 : 1,174.38 = 493.47 : x
  2. Step 2: Convert to fraction form
    781.83/1,174.38 = 493.47/x
  3. Step 3: Cross multiply
    781.83x = 1,174.38 × 493.47
  4. Step 4: Simplify right side
    781.83x = 579,521.30
  5. Step 5: Solve for x
    x = 579,521.30/781.83
  6. Step 6: Final answer
    x = 741.24

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