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Finding the Fourth Proportional to 1,234.28, 1,703.69 and 861.12

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Solution

The fourth proportional to 1,234.28, 1,703.69 and 861.12 is: 1,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.28 : 1,703.69 = 861.12 : x
  2. Step 2: Convert to fraction form
    1,234.28/1,703.69 = 861.12/x
  3. Step 3: Cross multiply
    1,234.28x = 1,703.69 × 861.12
  4. Step 4: Simplify right side
    1,234.28x = 1,467,077.23
  5. Step 5: Solve for x
    x = 1,467,077.23/1,234.28
  6. Step 6: Final answer
    x = 1,188.61

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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.