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Finding the Fourth Proportional to 1,244.38, 1,866.56 and 814.26

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Solution

The fourth proportional to 1,244.38, 1,866.56 and 814.26 is: 1,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.38 : 1,866.56 = 814.26 : x
  2. Step 2: Convert to fraction form
    1,244.38/1,866.56 = 814.26/x
  3. Step 3: Cross multiply
    1,244.38x = 1,866.56 × 814.26
  4. Step 4: Simplify right side
    1,244.38x = 1,519,865.15
  5. Step 5: Solve for x
    x = 1,519,865.15/1,244.38
  6. Step 6: Final answer
    x = 1,221.38

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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.