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Finding the Fourth Proportional to 717.97, 1,076.96 and 392.65

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Solution

The fourth proportional to 717.97, 1,076.96 and 392.65 is: 588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.97 : 1,076.96 = 392.65 : x
  2. Step 2: Convert to fraction form
    717.97/1,076.96 = 392.65/x
  3. Step 3: Cross multiply
    717.97x = 1,076.96 × 392.65
  4. Step 4: Simplify right side
    717.97x = 422,868.34
  5. Step 5: Solve for x
    x = 422,868.34/717.97
  6. Step 6: Final answer
    x = 588.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.