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Finding the Fourth Proportional to 1,179.67, 1,760.67 and 1,101.91

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Solution

The fourth proportional to 1,179.67, 1,760.67 and 1,101.91 is: 1,644.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,179.67 : 1,760.67 = 1,101.91 : x
  2. Step 2: Convert to fraction form
    1,179.67/1,760.67 = 1,101.91/x
  3. Step 3: Cross multiply
    1,179.67x = 1,760.67 × 1,101.91
  4. Step 4: Simplify right side
    1,179.67x = 1,940,099.88
  5. Step 5: Solve for x
    x = 1,940,099.88/1,179.67
  6. Step 6: Final answer
    x = 1,644.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.