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Finding the Fourth Proportional to 691.88, 1,037.39 and 301.59

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Solution

The fourth proportional to 691.88, 1,037.39 and 301.59 is: 452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.88 : 1,037.39 = 301.59 : x
  2. Step 2: Convert to fraction form
    691.88/1,037.39 = 301.59/x
  3. Step 3: Cross multiply
    691.88x = 1,037.39 × 301.59
  4. Step 4: Simplify right side
    691.88x = 312,864.94
  5. Step 5: Solve for x
    x = 312,864.94/691.88
  6. Step 6: Final answer
    x = 452.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.