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Finding the Fourth Proportional to 736.70, 1,105.38 and 462.71

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Solution

The fourth proportional to 736.70, 1,105.38 and 462.71 is: 694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.70 : 1,105.38 = 462.71 : x
  2. Step 2: Convert to fraction form
    736.70/1,105.38 = 462.71/x
  3. Step 3: Cross multiply
    736.70x = 1,105.38 × 462.71
  4. Step 4: Simplify right side
    736.70x = 511,473.14
  5. Step 5: Solve for x
    x = 511,473.14/736.70
  6. Step 6: Final answer
    x = 694.28

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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.