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Finding the Fourth Proportional to 717.25, 989.26 and 496.57

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Solution

The fourth proportional to 717.25, 989.26 and 496.57 is: 684.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.25 : 989.26 = 496.57 : x
  2. Step 2: Convert to fraction form
    717.25/989.26 = 496.57/x
  3. Step 3: Cross multiply
    717.25x = 989.26 × 496.57
  4. Step 4: Simplify right side
    717.25x = 491,236.84
  5. Step 5: Solve for x
    x = 491,236.84/717.25
  6. Step 6: Final answer
    x = 684.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.