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Finding the Fourth Proportional to 713.70, 996.75 and 713.70

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Solution

The fourth proportional to 713.70, 996.75 and 713.70 is: 996.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.70 : 996.75 = 713.70 : x
  2. Step 2: Convert to fraction form
    713.70/996.75 = 713.70/x
  3. Step 3: Cross multiply
    713.70x = 996.75 × 713.70
  4. Step 4: Simplify right side
    713.70x = 711,380.48
  5. Step 5: Solve for x
    x = 711,380.48/713.70
  6. Step 6: Final answer
    x = 996.75

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.