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Finding the Fourth Proportional to 759.72, 1,139.07 and 272.71

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Solution

The fourth proportional to 759.72, 1,139.07 and 272.71 is: 408.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.72 : 1,139.07 = 272.71 : x
  2. Step 2: Convert to fraction form
    759.72/1,139.07 = 272.71/x
  3. Step 3: Cross multiply
    759.72x = 1,139.07 × 272.71
  4. Step 4: Simplify right side
    759.72x = 310,632.93
  5. Step 5: Solve for x
    x = 310,632.93/759.72
  6. Step 6: Final answer
    x = 408.88

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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.