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Finding the Fourth Proportional to 691.55, 1,037.13 and 274.90

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Solution

The fourth proportional to 691.55, 1,037.13 and 274.90 is: 412.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.55 : 1,037.13 = 274.90 : x
  2. Step 2: Convert to fraction form
    691.55/1,037.13 = 274.90/x
  3. Step 3: Cross multiply
    691.55x = 1,037.13 × 274.90
  4. Step 4: Simplify right side
    691.55x = 285,105.13
  5. Step 5: Solve for x
    x = 285,105.13/691.55
  6. Step 6: Final answer
    x = 412.27

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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.