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Finding the Fourth Proportional to 831.75, 1,244.54 and 522.15

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Solution

The fourth proportional to 831.75, 1,244.54 and 522.15 is: 781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.75 : 1,244.54 = 522.15 : x
  2. Step 2: Convert to fraction form
    831.75/1,244.54 = 522.15/x
  3. Step 3: Cross multiply
    831.75x = 1,244.54 × 522.15
  4. Step 4: Simplify right side
    831.75x = 649,833.95
  5. Step 5: Solve for x
    x = 649,833.95/831.75
  6. Step 6: Final answer
    x = 781.29

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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.