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Finding the Fourth Proportional to 962.20, 1,327.84 and 520.10

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Solution

The fourth proportional to 962.20, 1,327.84 and 520.10 is: 717.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.20 : 1,327.84 = 520.10 : x
  2. Step 2: Convert to fraction form
    962.20/1,327.84 = 520.10/x
  3. Step 3: Cross multiply
    962.20x = 1,327.84 × 520.10
  4. Step 4: Simplify right side
    962.20x = 690,610.93
  5. Step 5: Solve for x
    x = 690,610.93/962.20
  6. Step 6: Final answer
    x = 717.74

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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.