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Finding the Fourth Proportional to 759.62, 1,139.56 and 272.72

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Solution

The fourth proportional to 759.62, 1,139.56 and 272.72 is: 409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.62 : 1,139.56 = 272.72 : x
  2. Step 2: Convert to fraction form
    759.62/1,139.56 = 272.72/x
  3. Step 3: Cross multiply
    759.62x = 1,139.56 × 272.72
  4. Step 4: Simplify right side
    759.62x = 310,780.80
  5. Step 5: Solve for x
    x = 310,780.80/759.62
  6. Step 6: Final answer
    x = 409.13

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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.