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Finding the Fourth Proportional to 713.46, 983.97 and 548.07

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Solution

The fourth proportional to 713.46, 983.97 and 548.07 is: 755.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.46 : 983.97 = 548.07 : x
  2. Step 2: Convert to fraction form
    713.46/983.97 = 548.07/x
  3. Step 3: Cross multiply
    713.46x = 983.97 × 548.07
  4. Step 4: Simplify right side
    713.46x = 539,284.44
  5. Step 5: Solve for x
    x = 539,284.44/713.46
  6. Step 6: Final answer
    x = 755.87

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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.