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Finding the Fourth Proportional to 1,037.96, 1,432.38 and 565.82

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Solution

The fourth proportional to 1,037.96, 1,432.38 and 565.82 is: 780.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.96 : 1,432.38 = 565.82 : x
  2. Step 2: Convert to fraction form
    1,037.96/1,432.38 = 565.82/x
  3. Step 3: Cross multiply
    1,037.96x = 1,432.38 × 565.82
  4. Step 4: Simplify right side
    1,037.96x = 810,469.25
  5. Step 5: Solve for x
    x = 810,469.25/1,037.96
  6. Step 6: Final answer
    x = 780.83

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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.