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Finding the Fourth Proportional to 725.07, 1,087.60 and 177.26

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Solution

The fourth proportional to 725.07, 1,087.60 and 177.26 is: 265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.07 : 1,087.60 = 177.26 : x
  2. Step 2: Convert to fraction form
    725.07/1,087.60 = 177.26/x
  3. Step 3: Cross multiply
    725.07x = 1,087.60 × 177.26
  4. Step 4: Simplify right side
    725.07x = 192,787.98
  5. Step 5: Solve for x
    x = 192,787.98/725.07
  6. Step 6: Final answer
    x = 265.89

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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.