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Finding the Fourth Proportional to 725.66, 1,001.40 and 394.08

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Solution

The fourth proportional to 725.66, 1,001.40 and 394.08 is: 543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.66 : 1,001.40 = 394.08 : x
  2. Step 2: Convert to fraction form
    725.66/1,001.40 = 394.08/x
  3. Step 3: Cross multiply
    725.66x = 1,001.40 × 394.08
  4. Step 4: Simplify right side
    725.66x = 394,626.71
  5. Step 5: Solve for x
    x = 394,626.71/725.66
  6. Step 6: Final answer
    x = 543.82

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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.