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Finding the Fourth Proportional to 1,332.44, 1,998.86 and 408.13

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Solution

The fourth proportional to 1,332.44, 1,998.86 and 408.13 is: 612.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.44 : 1,998.86 = 408.13 : x
  2. Step 2: Convert to fraction form
    1,332.44/1,998.86 = 408.13/x
  3. Step 3: Cross multiply
    1,332.44x = 1,998.86 × 408.13
  4. Step 4: Simplify right side
    1,332.44x = 815,794.73
  5. Step 5: Solve for x
    x = 815,794.73/1,332.44
  6. Step 6: Final answer
    x = 612.26

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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.