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Finding the Fourth Proportional to 691.98, 1,037.70 and 253.14

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Solution

The fourth proportional to 691.98, 1,037.70 and 253.14 is: 379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.98 : 1,037.70 = 253.14 : x
  2. Step 2: Convert to fraction form
    691.98/1,037.70 = 253.14/x
  3. Step 3: Cross multiply
    691.98x = 1,037.70 × 253.14
  4. Step 4: Simplify right side
    691.98x = 262,683.38
  5. Step 5: Solve for x
    x = 262,683.38/691.98
  6. Step 6: Final answer
    x = 379.61

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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.