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Finding the Fourth Proportional to 736.72, 1,105.12 and 249.73

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Solution

The fourth proportional to 736.72, 1,105.12 and 249.73 is: 374.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.72 : 1,105.12 = 249.73 : x
  2. Step 2: Convert to fraction form
    736.72/1,105.12 = 249.73/x
  3. Step 3: Cross multiply
    736.72x = 1,105.12 × 249.73
  4. Step 4: Simplify right side
    736.72x = 275,979.17
  5. Step 5: Solve for x
    x = 275,979.17/736.72
  6. Step 6: Final answer
    x = 374.61

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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.