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Finding the Fourth Proportional to 713.96, 984.66 and 548.58

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Solution

The fourth proportional to 713.96, 984.66 and 548.58 is: 756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.96 : 984.66 = 548.58 : x
  2. Step 2: Convert to fraction form
    713.96/984.66 = 548.58/x
  3. Step 3: Cross multiply
    713.96x = 984.66 × 548.58
  4. Step 4: Simplify right side
    713.96x = 540,164.78
  5. Step 5: Solve for x
    x = 540,164.78/713.96
  6. Step 6: Final answer
    x = 756.58

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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.