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Finding the Fourth Proportional to 1,231.77, 1,847.59 and 744.69

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Solution

The fourth proportional to 1,231.77, 1,847.59 and 744.69 is: 1,116.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.77 : 1,847.59 = 744.69 : x
  2. Step 2: Convert to fraction form
    1,231.77/1,847.59 = 744.69/x
  3. Step 3: Cross multiply
    1,231.77x = 1,847.59 × 744.69
  4. Step 4: Simplify right side
    1,231.77x = 1,375,879.94
  5. Step 5: Solve for x
    x = 1,375,879.94/1,231.77
  6. Step 6: Final answer
    x = 1,116.99

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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.