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Finding the Fourth Proportional to 713.97, 984.65 and 481.41

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Solution

The fourth proportional to 713.97, 984.65 and 481.41 is: 663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.97 : 984.65 = 481.41 : x
  2. Step 2: Convert to fraction form
    713.97/984.65 = 481.41/x
  3. Step 3: Cross multiply
    713.97x = 984.65 × 481.41
  4. Step 4: Simplify right side
    713.97x = 474,017.95
  5. Step 5: Solve for x
    x = 474,017.95/713.97
  6. Step 6: Final answer
    x = 663.92

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