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Finding the Fourth Proportional to 691.49, 1,037.60 and 280.93

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Solution

The fourth proportional to 691.49, 1,037.60 and 280.93 is: 421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.49 : 1,037.60 = 280.93 : x
  2. Step 2: Convert to fraction form
    691.49/1,037.60 = 280.93/x
  3. Step 3: Cross multiply
    691.49x = 1,037.60 × 280.93
  4. Step 4: Simplify right side
    691.49x = 291,491.56
  5. Step 5: Solve for x
    x = 291,491.56/691.49
  6. Step 6: Final answer
    x = 421.54

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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.