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Finding the Fourth Proportional to 1,187.29, 1,638 and 689.85

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Solution

The fourth proportional to 1,187.29, 1,638 and 689.85 is: 951.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,187.29 : 1,638 = 689.85 : x
  2. Step 2: Convert to fraction form
    1,187.29/1,638 = 689.85/x
  3. Step 3: Cross multiply
    1,187.29x = 1,638 × 689.85
  4. Step 4: Simplify right side
    1,187.29x = 1,129,974.30
  5. Step 5: Solve for x
    x = 1,129,974.30/1,187.29
  6. Step 6: Final answer
    x = 951.73

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