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Finding the Fourth Proportional to 725.10, 1,000.62 and 393.52

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Solution

The fourth proportional to 725.10, 1,000.62 and 393.52 is: 543.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.10 : 1,000.62 = 393.52 : x
  2. Step 2: Convert to fraction form
    725.10/1,000.62 = 393.52/x
  3. Step 3: Cross multiply
    725.10x = 1,000.62 × 393.52
  4. Step 4: Simplify right side
    725.10x = 393,763.98
  5. Step 5: Solve for x
    x = 393,763.98/725.10
  6. Step 6: Final answer
    x = 543.05

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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.