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Finding the Fourth Proportional to 831.37, 1,147.19 and 477.31

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Solution

The fourth proportional to 831.37, 1,147.19 and 477.31 is: 658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.37 : 1,147.19 = 477.31 : x
  2. Step 2: Convert to fraction form
    831.37/1,147.19 = 477.31/x
  3. Step 3: Cross multiply
    831.37x = 1,147.19 × 477.31
  4. Step 4: Simplify right side
    831.37x = 547,562.49
  5. Step 5: Solve for x
    x = 547,562.49/831.37
  6. Step 6: Final answer
    x = 658.62

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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.