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Finding the Fourth Proportional to 725.26, 1,087.53 and 262.97

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Solution

The fourth proportional to 725.26, 1,087.53 and 262.97 is: 394.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.26 : 1,087.53 = 262.97 : x
  2. Step 2: Convert to fraction form
    725.26/1,087.53 = 262.97/x
  3. Step 3: Cross multiply
    725.26x = 1,087.53 × 262.97
  4. Step 4: Simplify right side
    725.26x = 285,987.74
  5. Step 5: Solve for x
    x = 285,987.74/725.26
  6. Step 6: Final answer
    x = 394.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.