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Finding the Fourth Proportional to 725.70, 1,001.46 and 394.11

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Solution

The fourth proportional to 725.70, 1,001.46 and 394.11 is: 543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.70 : 1,001.46 = 394.11 : x
  2. Step 2: Convert to fraction form
    725.70/1,001.46 = 394.11/x
  3. Step 3: Cross multiply
    725.70x = 1,001.46 × 394.11
  4. Step 4: Simplify right side
    725.70x = 394,685.40
  5. Step 5: Solve for x
    x = 394,685.40/725.70
  6. Step 6: Final answer
    x = 543.87

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Why These Related Problems?

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