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Finding the Fourth Proportional to 754.04, 1,040.74 and 443.72

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Solution

The fourth proportional to 754.04, 1,040.74 and 443.72 is: 612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.04 : 1,040.74 = 443.72 : x
  2. Step 2: Convert to fraction form
    754.04/1,040.74 = 443.72/x
  3. Step 3: Cross multiply
    754.04x = 1,040.74 × 443.72
  4. Step 4: Simplify right side
    754.04x = 461,797.15
  5. Step 5: Solve for x
    x = 461,797.15/754.04
  6. Step 6: Final answer
    x = 612.43

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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.