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Finding the Fourth Proportional to 704.46, 1,057.17 and 271.68

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Solution

The fourth proportional to 704.46, 1,057.17 and 271.68 is: 407.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.46 : 1,057.17 = 271.68 : x
  2. Step 2: Convert to fraction form
    704.46/1,057.17 = 271.68/x
  3. Step 3: Cross multiply
    704.46x = 1,057.17 × 271.68
  4. Step 4: Simplify right side
    704.46x = 287,211.95
  5. Step 5: Solve for x
    x = 287,211.95/704.46
  6. Step 6: Final answer
    x = 407.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.