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Finding the Fourth Proportional to 717.56, 1,076.15 and 255.22

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Solution

The fourth proportional to 717.56, 1,076.15 and 255.22 is: 382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.56 : 1,076.15 = 255.22 : x
  2. Step 2: Convert to fraction form
    717.56/1,076.15 = 255.22/x
  3. Step 3: Cross multiply
    717.56x = 1,076.15 × 255.22
  4. Step 4: Simplify right side
    717.56x = 274,652.95
  5. Step 5: Solve for x
    x = 274,652.95/717.56
  6. Step 6: Final answer
    x = 382.76

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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.