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Finding the Fourth Proportional to 1,318.22, 1,976.31 and 798.09

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Solution

The fourth proportional to 1,318.22, 1,976.31 and 798.09 is: 1,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.22 : 1,976.31 = 798.09 : x
  2. Step 2: Convert to fraction form
    1,318.22/1,976.31 = 798.09/x
  3. Step 3: Cross multiply
    1,318.22x = 1,976.31 × 798.09
  4. Step 4: Simplify right side
    1,318.22x = 1,577,273.25
  5. Step 5: Solve for x
    x = 1,577,273.25/1,318.22
  6. Step 6: Final answer
    x = 1,196.52

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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.