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Finding the Fourth Proportional to 831.52, 1,146.96 and 520.48

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Solution

The fourth proportional to 831.52, 1,146.96 and 520.48 is: 717.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    831.52 : 1,146.96 = 520.48 : x
  2. Step 2: Convert to fraction form
    831.52/1,146.96 = 520.48/x
  3. Step 3: Cross multiply
    831.52x = 1,146.96 × 520.48
  4. Step 4: Simplify right side
    831.52x = 596,969.74
  5. Step 5: Solve for x
    x = 596,969.74/831.52
  6. Step 6: Final answer
    x = 717.93

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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.