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Finding the Fourth Proportional to 691.64, 1,037.71 and 344.76

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Solution

The fourth proportional to 691.64, 1,037.71 and 344.76 is: 517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.64 : 1,037.71 = 344.76 : x
  2. Step 2: Convert to fraction form
    691.64/1,037.71 = 344.76/x
  3. Step 3: Cross multiply
    691.64x = 1,037.71 × 344.76
  4. Step 4: Simplify right side
    691.64x = 357,757.44
  5. Step 5: Solve for x
    x = 357,757.44/691.64
  6. Step 6: Final answer
    x = 517.26

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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.