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Finding the Fourth Proportional to 725.64, 1,001.38 and 394.07

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Solution

The fourth proportional to 725.64, 1,001.38 and 394.07 is: 543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.64 : 1,001.38 = 394.07 : x
  2. Step 2: Convert to fraction form
    725.64/1,001.38 = 394.07/x
  3. Step 3: Cross multiply
    725.64x = 1,001.38 × 394.07
  4. Step 4: Simplify right side
    725.64x = 394,606.84
  5. Step 5: Solve for x
    x = 394,606.84/725.64
  6. Step 6: Final answer
    x = 543.81

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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.