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Finding the Fourth Proportional to 691.53, 1,037.14 and 229.20

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Solution

The fourth proportional to 691.53, 1,037.14 and 229.20 is: 343.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.53 : 1,037.14 = 229.20 : x
  2. Step 2: Convert to fraction form
    691.53/1,037.14 = 229.20/x
  3. Step 3: Cross multiply
    691.53x = 1,037.14 × 229.20
  4. Step 4: Simplify right side
    691.53x = 237,712.49
  5. Step 5: Solve for x
    x = 237,712.49/691.53
  6. Step 6: Final answer
    x = 343.75

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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.