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Finding the Fourth Proportional to 725.11, 1,086.03 and 450.43

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Solution

The fourth proportional to 725.11, 1,086.03 and 450.43 is: 674.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.11 : 1,086.03 = 450.43 : x
  2. Step 2: Convert to fraction form
    725.11/1,086.03 = 450.43/x
  3. Step 3: Cross multiply
    725.11x = 1,086.03 × 450.43
  4. Step 4: Simplify right side
    725.11x = 489,177.78
  5. Step 5: Solve for x
    x = 489,177.78/725.11
  6. Step 6: Final answer
    x = 674.63

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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.