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Finding the Fourth Proportional to 725.98, 1,080.27 and 723.56

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Solution

The fourth proportional to 725.98, 1,080.27 and 723.56 is: 1,076.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.98 : 1,080.27 = 723.56 : x
  2. Step 2: Convert to fraction form
    725.98/1,080.27 = 723.56/x
  3. Step 3: Cross multiply
    725.98x = 1,080.27 × 723.56
  4. Step 4: Simplify right side
    725.98x = 781,640.16
  5. Step 5: Solve for x
    x = 781,640.16/725.98
  6. Step 6: Final answer
    x = 1,076.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.