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Finding the Fourth Proportional to 831.32, 1,147.02 and 500

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Solution

The fourth proportional to 831.32, 1,147.02 and 500 is: 689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.32 : 1,147.02 = 500 : x
  2. Step 2: Convert to fraction form
    831.32/1,147.02 = 500/x
  3. Step 3: Cross multiply
    831.32x = 1,147.02 × 500
  4. Step 4: Simplify right side
    831.32x = 573,510
  5. Step 5: Solve for x
    x = 573,510/831.32
  6. Step 6: Final answer
    x = 689.88

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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.