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Finding the Fourth Proportional to 704.27, 1,057.02 and 271.73

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Solution

The fourth proportional to 704.27, 1,057.02 and 271.73 is: 407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.27 : 1,057.02 = 271.73 : x
  2. Step 2: Convert to fraction form
    704.27/1,057.02 = 271.73/x
  3. Step 3: Cross multiply
    704.27x = 1,057.02 × 271.73
  4. Step 4: Simplify right side
    704.27x = 287,221.40
  5. Step 5: Solve for x
    x = 287,221.40/704.27
  6. Step 6: Final answer
    x = 407.83

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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.