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Finding the Fourth Proportional to 737.66, 1,105.41 and 408.66

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Solution

The fourth proportional to 737.66, 1,105.41 and 408.66 is: 612.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.66 : 1,105.41 = 408.66 : x
  2. Step 2: Convert to fraction form
    737.66/1,105.41 = 408.66/x
  3. Step 3: Cross multiply
    737.66x = 1,105.41 × 408.66
  4. Step 4: Simplify right side
    737.66x = 451,736.85
  5. Step 5: Solve for x
    x = 451,736.85/737.66
  6. Step 6: Final answer
    x = 612.39

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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.