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Finding the Fourth Proportional to 737.73, 1,105.79 and 412.92

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Solution

The fourth proportional to 737.73, 1,105.79 and 412.92 is: 618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.73 : 1,105.79 = 412.92 : x
  2. Step 2: Convert to fraction form
    737.73/1,105.79 = 412.92/x
  3. Step 3: Cross multiply
    737.73x = 1,105.79 × 412.92
  4. Step 4: Simplify right side
    737.73x = 456,600.74
  5. Step 5: Solve for x
    x = 456,600.74/737.73
  6. Step 6: Final answer
    x = 618.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.