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Finding the Fourth Proportional to 728.72, 996.74 and 717.38

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Solution

The fourth proportional to 728.72, 996.74 and 717.38 is: 981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.72 : 996.74 = 717.38 : x
  2. Step 2: Convert to fraction form
    728.72/996.74 = 717.38/x
  3. Step 3: Cross multiply
    728.72x = 996.74 × 717.38
  4. Step 4: Simplify right side
    728.72x = 715,037.75
  5. Step 5: Solve for x
    x = 715,037.75/728.72
  6. Step 6: Final answer
    x = 981.22

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.