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Finding the Fourth Proportional to 725.46, 1,080.36 and 678.74

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Solution

The fourth proportional to 725.46, 1,080.36 and 678.74 is: 1,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.46 : 1,080.36 = 678.74 : x
  2. Step 2: Convert to fraction form
    725.46/1,080.36 = 678.74/x
  3. Step 3: Cross multiply
    725.46x = 1,080.36 × 678.74
  4. Step 4: Simplify right side
    725.46x = 733,283.55
  5. Step 5: Solve for x
    x = 733,283.55/725.46
  6. Step 6: Final answer
    x = 1,010.78

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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.