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Finding the Fourth Proportional to 1,171.98, 1,758.31 and 441.61

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Solution

The fourth proportional to 1,171.98, 1,758.31 and 441.61 is: 662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.98 : 1,758.31 = 441.61 : x
  2. Step 2: Convert to fraction form
    1,171.98/1,758.31 = 441.61/x
  3. Step 3: Cross multiply
    1,171.98x = 1,758.31 × 441.61
  4. Step 4: Simplify right side
    1,171.98x = 776,481.78
  5. Step 5: Solve for x
    x = 776,481.78/1,171.98
  6. Step 6: Final answer
    x = 662.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.