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Finding the Fourth Proportional to 725.46, 1,085.82 and 451.80

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Solution

The fourth proportional to 725.46, 1,085.82 and 451.80 is: 676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.46 : 1,085.82 = 451.80 : x
  2. Step 2: Convert to fraction form
    725.46/1,085.82 = 451.80/x
  3. Step 3: Cross multiply
    725.46x = 1,085.82 × 451.80
  4. Step 4: Simplify right side
    725.46x = 490,573.48
  5. Step 5: Solve for x
    x = 490,573.48/725.46
  6. Step 6: Final answer
    x = 676.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.