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Finding the Fourth Proportional to 831.13, 1,146.87 and 476.96

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Solution

The fourth proportional to 831.13, 1,146.87 and 476.96 is: 658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.13 : 1,146.87 = 476.96 : x
  2. Step 2: Convert to fraction form
    831.13/1,146.87 = 476.96/x
  3. Step 3: Cross multiply
    831.13x = 1,146.87 × 476.96
  4. Step 4: Simplify right side
    831.13x = 547,011.12
  5. Step 5: Solve for x
    x = 547,011.12/831.13
  6. Step 6: Final answer
    x = 658.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.