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Finding the Fourth Proportional to 691.49, 1,037.25 and 197.91

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Solution

The fourth proportional to 691.49, 1,037.25 and 197.91 is: 296.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.49 : 1,037.25 = 197.91 : x
  2. Step 2: Convert to fraction form
    691.49/1,037.25 = 197.91/x
  3. Step 3: Cross multiply
    691.49x = 1,037.25 × 197.91
  4. Step 4: Simplify right side
    691.49x = 205,282.15
  5. Step 5: Solve for x
    x = 205,282.15/691.49
  6. Step 6: Final answer
    x = 296.87

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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.