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Finding the Fourth Proportional to 691.38, 1,037.64 and 301.66

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Solution

The fourth proportional to 691.38, 1,037.64 and 301.66 is: 452.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.38 : 1,037.64 = 301.66 : x
  2. Step 2: Convert to fraction form
    691.38/1,037.64 = 301.66/x
  3. Step 3: Cross multiply
    691.38x = 1,037.64 × 301.66
  4. Step 4: Simplify right side
    691.38x = 313,014.48
  5. Step 5: Solve for x
    x = 313,014.48/691.38
  6. Step 6: Final answer
    x = 452.74

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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.