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Finding the Fourth Proportional to 820.97, 1,234.29 and 659.78

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Solution

The fourth proportional to 820.97, 1,234.29 and 659.78 is: 991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.97 : 1,234.29 = 659.78 : x
  2. Step 2: Convert to fraction form
    820.97/1,234.29 = 659.78/x
  3. Step 3: Cross multiply
    820.97x = 1,234.29 × 659.78
  4. Step 4: Simplify right side
    820.97x = 814,353.68
  5. Step 5: Solve for x
    x = 814,353.68/820.97
  6. Step 6: Final answer
    x = 991.95

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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.