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Finding the Fourth Proportional to 831.92, 1,147.92 and 500.30

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Solution

The fourth proportional to 831.92, 1,147.92 and 500.30 is: 690.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.92 : 1,147.92 = 500.30 : x
  2. Step 2: Convert to fraction form
    831.92/1,147.92 = 500.30/x
  3. Step 3: Cross multiply
    831.92x = 1,147.92 × 500.30
  4. Step 4: Simplify right side
    831.92x = 574,304.38
  5. Step 5: Solve for x
    x = 574,304.38/831.92
  6. Step 6: Final answer
    x = 690.34

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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.