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Finding the Fourth Proportional to 713.66, 984.50 and 547.59

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Solution

The fourth proportional to 713.66, 984.50 and 547.59 is: 755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.66 : 984.50 = 547.59 : x
  2. Step 2: Convert to fraction form
    713.66/984.50 = 547.59/x
  3. Step 3: Cross multiply
    713.66x = 984.50 × 547.59
  4. Step 4: Simplify right side
    713.66x = 539,099.62
  5. Step 5: Solve for x
    x = 539,099.62/713.66
  6. Step 6: Final answer
    x = 755.41

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Why These Related Problems?

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