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Finding the Fourth Proportional to 717.85, 1,076.57 and 197.72

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Solution

The fourth proportional to 717.85, 1,076.57 and 197.72 is: 296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.85 : 1,076.57 = 197.72 : x
  2. Step 2: Convert to fraction form
    717.85/1,076.57 = 197.72/x
  3. Step 3: Cross multiply
    717.85x = 1,076.57 × 197.72
  4. Step 4: Simplify right side
    717.85x = 212,862.61
  5. Step 5: Solve for x
    x = 212,862.61/717.85
  6. Step 6: Final answer
    x = 296.53

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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.