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Finding the Fourth Proportional to 831.38, 1,249.34 and 777.20

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Solution

The fourth proportional to 831.38, 1,249.34 and 777.20 is: 1,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.38 : 1,249.34 = 777.20 : x
  2. Step 2: Convert to fraction form
    831.38/1,249.34 = 777.20/x
  3. Step 3: Cross multiply
    831.38x = 1,249.34 × 777.20
  4. Step 4: Simplify right side
    831.38x = 970,976.92
  5. Step 5: Solve for x
    x = 970,976.92/831.38
  6. Step 6: Final answer
    x = 1,167.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.