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Finding the Fourth Proportional to 1,481.64, 2,044.44 and 843.56

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Solution

The fourth proportional to 1,481.64, 2,044.44 and 843.56 is: 1,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.64 : 2,044.44 = 843.56 : x
  2. Step 2: Convert to fraction form
    1,481.64/2,044.44 = 843.56/x
  3. Step 3: Cross multiply
    1,481.64x = 2,044.44 × 843.56
  4. Step 4: Simplify right side
    1,481.64x = 1,724,607.81
  5. Step 5: Solve for x
    x = 1,724,607.81/1,481.64
  6. Step 6: Final answer
    x = 1,163.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.