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Finding the Fourth Proportional to 754.74, 1,034.01 and 725.58

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Solution

The fourth proportional to 754.74, 1,034.01 and 725.58 is: 994.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.74 : 1,034.01 = 725.58 : x
  2. Step 2: Convert to fraction form
    754.74/1,034.01 = 725.58/x
  3. Step 3: Cross multiply
    754.74x = 1,034.01 × 725.58
  4. Step 4: Simplify right side
    754.74x = 750,256.98
  5. Step 5: Solve for x
    x = 750,256.98/754.74
  6. Step 6: Final answer
    x = 994.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.