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Finding the Fourth Proportional to 831.14, 1,146.62 and 477

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Solution

The fourth proportional to 831.14, 1,146.62 and 477 is: 658.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.14 : 1,146.62 = 477 : x
  2. Step 2: Convert to fraction form
    831.14/1,146.62 = 477/x
  3. Step 3: Cross multiply
    831.14x = 1,146.62 × 477
  4. Step 4: Simplify right side
    831.14x = 546,937.74
  5. Step 5: Solve for x
    x = 546,937.74/831.14
  6. Step 6: Final answer
    x = 658.06

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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.