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Finding the Fourth Proportional to 754.09, 1,040.69 and 439.43

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Solution

The fourth proportional to 754.09, 1,040.69 and 439.43 is: 606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.09 : 1,040.69 = 439.43 : x
  2. Step 2: Convert to fraction form
    754.09/1,040.69 = 439.43/x
  3. Step 3: Cross multiply
    754.09x = 1,040.69 × 439.43
  4. Step 4: Simplify right side
    754.09x = 457,306.30
  5. Step 5: Solve for x
    x = 457,306.30/754.09
  6. Step 6: Final answer
    x = 606.44

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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.