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Finding the Fourth Proportional to 1,037.84, 1,432.21 and 565.74

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Solution

The fourth proportional to 1,037.84, 1,432.21 and 565.74 is: 780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.84 : 1,432.21 = 565.74 : x
  2. Step 2: Convert to fraction form
    1,037.84/1,432.21 = 565.74/x
  3. Step 3: Cross multiply
    1,037.84x = 1,432.21 × 565.74
  4. Step 4: Simplify right side
    1,037.84x = 810,253.82
  5. Step 5: Solve for x
    x = 810,253.82/1,037.84
  6. Step 6: Final answer
    x = 780.71

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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.