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Finding the Fourth Proportional to 691.84, 1,037.24 and 280.88

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Solution

The fourth proportional to 691.84, 1,037.24 and 280.88 is: 421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.84 : 1,037.24 = 280.88 : x
  2. Step 2: Convert to fraction form
    691.84/1,037.24 = 280.88/x
  3. Step 3: Cross multiply
    691.84x = 1,037.24 × 280.88
  4. Step 4: Simplify right side
    691.84x = 291,339.97
  5. Step 5: Solve for x
    x = 291,339.97/691.84
  6. Step 6: Final answer
    x = 421.11

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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.