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Finding the Fourth Proportional to 704.75, 1,057.11 and 314.66

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Solution

The fourth proportional to 704.75, 1,057.11 and 314.66 is: 471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.75 : 1,057.11 = 314.66 : x
  2. Step 2: Convert to fraction form
    704.75/1,057.11 = 314.66/x
  3. Step 3: Cross multiply
    704.75x = 1,057.11 × 314.66
  4. Step 4: Simplify right side
    704.75x = 332,624.95
  5. Step 5: Solve for x
    x = 332,624.95/704.75
  6. Step 6: Final answer
    x = 471.98

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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.