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Finding the Fourth Proportional to 717.88, 1,076.91 and 255.56

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Solution

The fourth proportional to 717.88, 1,076.91 and 255.56 is: 383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.88 : 1,076.91 = 255.56 : x
  2. Step 2: Convert to fraction form
    717.88/1,076.91 = 255.56/x
  3. Step 3: Cross multiply
    717.88x = 1,076.91 × 255.56
  4. Step 4: Simplify right side
    717.88x = 275,215.12
  5. Step 5: Solve for x
    x = 275,215.12/717.88
  6. Step 6: Final answer
    x = 383.37

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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.