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Finding the Fourth Proportional to 1,037.92, 1,432.32 and 565.84

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Solution

The fourth proportional to 1,037.92, 1,432.32 and 565.84 is: 780.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.92 : 1,432.32 = 565.84 : x
  2. Step 2: Convert to fraction form
    1,037.92/1,432.32 = 565.84/x
  3. Step 3: Cross multiply
    1,037.92x = 1,432.32 × 565.84
  4. Step 4: Simplify right side
    1,037.92x = 810,463.95
  5. Step 5: Solve for x
    x = 810,463.95/1,037.92
  6. Step 6: Final answer
    x = 780.85

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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.