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Finding the Fourth Proportional to 736.60, 1,105.23 and 411.97

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Solution

The fourth proportional to 736.60, 1,105.23 and 411.97 is: 618.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.60 : 1,105.23 = 411.97 : x
  2. Step 2: Convert to fraction form
    736.60/1,105.23 = 411.97/x
  3. Step 3: Cross multiply
    736.60x = 1,105.23 × 411.97
  4. Step 4: Simplify right side
    736.60x = 455,321.60
  5. Step 5: Solve for x
    x = 455,321.60/736.60
  6. Step 6: Final answer
    x = 618.14

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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.