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Finding the Fourth Proportional to 704.91, 1,057.48 and 217.86

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Solution

The fourth proportional to 704.91, 1,057.48 and 217.86 is: 326.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.91 : 1,057.48 = 217.86 : x
  2. Step 2: Convert to fraction form
    704.91/1,057.48 = 217.86/x
  3. Step 3: Cross multiply
    704.91x = 1,057.48 × 217.86
  4. Step 4: Simplify right side
    704.91x = 230,382.05
  5. Step 5: Solve for x
    x = 230,382.05/704.91
  6. Step 6: Final answer
    x = 326.83

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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.