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Finding the Fourth Proportional to 691.05, 1,034.73 and 365.73

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Solution

The fourth proportional to 691.05, 1,034.73 and 365.73 is: 547.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.05 : 1,034.73 = 365.73 : x
  2. Step 2: Convert to fraction form
    691.05/1,034.73 = 365.73/x
  3. Step 3: Cross multiply
    691.05x = 1,034.73 × 365.73
  4. Step 4: Simplify right side
    691.05x = 378,431.80
  5. Step 5: Solve for x
    x = 378,431.80/691.05
  6. Step 6: Final answer
    x = 547.62

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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.