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Finding the Fourth Proportional to 1,062.47, 1,591.86 and 575.85

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Solution

The fourth proportional to 1,062.47, 1,591.86 and 575.85 is: 862.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.47 : 1,591.86 = 575.85 : x
  2. Step 2: Convert to fraction form
    1,062.47/1,591.86 = 575.85/x
  3. Step 3: Cross multiply
    1,062.47x = 1,591.86 × 575.85
  4. Step 4: Simplify right side
    1,062.47x = 916,672.58
  5. Step 5: Solve for x
    x = 916,672.58/1,062.47
  6. Step 6: Final answer
    x = 862.78

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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.