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Finding the Fourth Proportional to 944.26, 1,412.73 and 827.83

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Solution

The fourth proportional to 944.26, 1,412.73 and 827.83 is: 1,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.26 : 1,412.73 = 827.83 : x
  2. Step 2: Convert to fraction form
    944.26/1,412.73 = 827.83/x
  3. Step 3: Cross multiply
    944.26x = 1,412.73 × 827.83
  4. Step 4: Simplify right side
    944.26x = 1,169,500.28
  5. Step 5: Solve for x
    x = 1,169,500.28/944.26
  6. Step 6: Final answer
    x = 1,238.54

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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.