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Finding the Fourth Proportional to 1,234.67, 1,704.23 and 861.78

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Solution

The fourth proportional to 1,234.67, 1,704.23 and 861.78 is: 1,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.67 : 1,704.23 = 861.78 : x
  2. Step 2: Convert to fraction form
    1,234.67/1,704.23 = 861.78/x
  3. Step 3: Cross multiply
    1,234.67x = 1,704.23 × 861.78
  4. Step 4: Simplify right side
    1,234.67x = 1,468,673.48
  5. Step 5: Solve for x
    x = 1,468,673.48/1,234.67
  6. Step 6: Final answer
    x = 1,189.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.