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Finding the Fourth Proportional to 1,150.74, 1,723.98 and 842.73

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Solution

The fourth proportional to 1,150.74, 1,723.98 and 842.73 is: 1,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.74 : 1,723.98 = 842.73 : x
  2. Step 2: Convert to fraction form
    1,150.74/1,723.98 = 842.73/x
  3. Step 3: Cross multiply
    1,150.74x = 1,723.98 × 842.73
  4. Step 4: Simplify right side
    1,150.74x = 1,452,849.67
  5. Step 5: Solve for x
    x = 1,452,849.67/1,150.74
  6. Step 6: Final answer
    x = 1,262.54

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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.