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Finding the Fourth Proportional to 691.67, 1,037.23 and 280.69

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Solution

The fourth proportional to 691.67, 1,037.23 and 280.69 is: 420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.67 : 1,037.23 = 280.69 : x
  2. Step 2: Convert to fraction form
    691.67/1,037.23 = 280.69/x
  3. Step 3: Cross multiply
    691.67x = 1,037.23 × 280.69
  4. Step 4: Simplify right side
    691.67x = 291,136.79
  5. Step 5: Solve for x
    x = 291,136.79/691.67
  6. Step 6: Final answer
    x = 420.92

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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.