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Finding the Fourth Proportional to 725.54, 1,087.77 and 360.59

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Solution

The fourth proportional to 725.54, 1,087.77 and 360.59 is: 540.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.54 : 1,087.77 = 360.59 : x
  2. Step 2: Convert to fraction form
    725.54/1,087.77 = 360.59/x
  3. Step 3: Cross multiply
    725.54x = 1,087.77 × 360.59
  4. Step 4: Simplify right side
    725.54x = 392,236.95
  5. Step 5: Solve for x
    x = 392,236.95/725.54
  6. Step 6: Final answer
    x = 540.61

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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.