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Finding the Fourth Proportional to 831.86, 1,147.97 and 477.85

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Solution

The fourth proportional to 831.86, 1,147.97 and 477.85 is: 659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.86 : 1,147.97 = 477.85 : x
  2. Step 2: Convert to fraction form
    831.86/1,147.97 = 477.85/x
  3. Step 3: Cross multiply
    831.86x = 1,147.97 × 477.85
  4. Step 4: Simplify right side
    831.86x = 548,557.62
  5. Step 5: Solve for x
    x = 548,557.62/831.86
  6. Step 6: Final answer
    x = 659.43

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