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Finding the Fourth Proportional to 725.56, 1,087.42 and 314.44

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Solution

The fourth proportional to 725.56, 1,087.42 and 314.44 is: 471.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.56 : 1,087.42 = 314.44 : x
  2. Step 2: Convert to fraction form
    725.56/1,087.42 = 314.44/x
  3. Step 3: Cross multiply
    725.56x = 1,087.42 × 314.44
  4. Step 4: Simplify right side
    725.56x = 341,928.34
  5. Step 5: Solve for x
    x = 341,928.34/725.56
  6. Step 6: Final answer
    x = 471.26

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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.