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Finding the Fourth Proportional to 831.28, 1,147.38 and 499.80

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Solution

The fourth proportional to 831.28, 1,147.38 and 499.80 is: 689.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.28 : 1,147.38 = 499.80 : x
  2. Step 2: Convert to fraction form
    831.28/1,147.38 = 499.80/x
  3. Step 3: Cross multiply
    831.28x = 1,147.38 × 499.80
  4. Step 4: Simplify right side
    831.28x = 573,460.52
  5. Step 5: Solve for x
    x = 573,460.52/831.28
  6. Step 6: Final answer
    x = 689.85

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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.