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Finding the Fourth Proportional to 691.41, 1,037.29 and 204.46

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Solution

The fourth proportional to 691.41, 1,037.29 and 204.46 is: 306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.41 : 1,037.29 = 204.46 : x
  2. Step 2: Convert to fraction form
    691.41/1,037.29 = 204.46/x
  3. Step 3: Cross multiply
    691.41x = 1,037.29 × 204.46
  4. Step 4: Simplify right side
    691.41x = 212,087.42
  5. Step 5: Solve for x
    x = 212,087.42/691.41
  6. Step 6: Final answer
    x = 306.75

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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.