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Finding the Fourth Proportional to 1,228.56, 1,843.92 and 796.20

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Solution

The fourth proportional to 1,228.56, 1,843.92 and 796.20 is: 1,195.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.56 : 1,843.92 = 796.20 : x
  2. Step 2: Convert to fraction form
    1,228.56/1,843.92 = 796.20/x
  3. Step 3: Cross multiply
    1,228.56x = 1,843.92 × 796.20
  4. Step 4: Simplify right side
    1,228.56x = 1,468,129.10
  5. Step 5: Solve for x
    x = 1,468,129.10/1,228.56
  6. Step 6: Final answer
    x = 1,195.00

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Why These Related Problems?

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