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Finding the Fourth Proportional to 725.15, 1,000.48 and 445.24

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Solution

The fourth proportional to 725.15, 1,000.48 and 445.24 is: 614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.15 : 1,000.48 = 445.24 : x
  2. Step 2: Convert to fraction form
    725.15/1,000.48 = 445.24/x
  3. Step 3: Cross multiply
    725.15x = 1,000.48 × 445.24
  4. Step 4: Simplify right side
    725.15x = 445,453.72
  5. Step 5: Solve for x
    x = 445,453.72/725.15
  6. Step 6: Final answer
    x = 614.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.