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Finding the Fourth Proportional to 831.64, 1,248.42 and 523.75

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Solution

The fourth proportional to 831.64, 1,248.42 and 523.75 is: 786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.64 : 1,248.42 = 523.75 : x
  2. Step 2: Convert to fraction form
    831.64/1,248.42 = 523.75/x
  3. Step 3: Cross multiply
    831.64x = 1,248.42 × 523.75
  4. Step 4: Simplify right side
    831.64x = 653,859.98
  5. Step 5: Solve for x
    x = 653,859.98/831.64
  6. Step 6: Final answer
    x = 786.23

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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.