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Finding the Fourth Proportional to 754.10, 1,040.67 and 418.02

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Solution

The fourth proportional to 754.10, 1,040.67 and 418.02 is: 576.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.10 : 1,040.67 = 418.02 : x
  2. Step 2: Convert to fraction form
    754.10/1,040.67 = 418.02/x
  3. Step 3: Cross multiply
    754.10x = 1,040.67 × 418.02
  4. Step 4: Simplify right side
    754.10x = 435,020.87
  5. Step 5: Solve for x
    x = 435,020.87/754.10
  6. Step 6: Final answer
    x = 576.87

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