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Finding the Fourth Proportional to 831.47, 1,244.57 and 522.25

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Solution

The fourth proportional to 831.47, 1,244.57 and 522.25 is: 781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.47 : 1,244.57 = 522.25 : x
  2. Step 2: Convert to fraction form
    831.47/1,244.57 = 522.25/x
  3. Step 3: Cross multiply
    831.47x = 1,244.57 × 522.25
  4. Step 4: Simplify right side
    831.47x = 649,970.96
  5. Step 5: Solve for x
    x = 649,970.96/831.47
  6. Step 6: Final answer
    x = 781.72

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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.