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Finding the Fourth Proportional to 717.98, 989.46 and 496.53

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Solution

The fourth proportional to 717.98, 989.46 and 496.53 is: 684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.98 : 989.46 = 496.53 : x
  2. Step 2: Convert to fraction form
    717.98/989.46 = 496.53/x
  3. Step 3: Cross multiply
    717.98x = 989.46 × 496.53
  4. Step 4: Simplify right side
    717.98x = 491,296.57
  5. Step 5: Solve for x
    x = 491,296.57/717.98
  6. Step 6: Final answer
    x = 684.28

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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.