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Finding the Fourth Proportional to 1,350.80, 1,863.16 and 826.44

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Solution

The fourth proportional to 1,350.80, 1,863.16 and 826.44 is: 1,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.80 : 1,863.16 = 826.44 : x
  2. Step 2: Convert to fraction form
    1,350.80/1,863.16 = 826.44/x
  3. Step 3: Cross multiply
    1,350.80x = 1,863.16 × 826.44
  4. Step 4: Simplify right side
    1,350.80x = 1,539,789.95
  5. Step 5: Solve for x
    x = 1,539,789.95/1,350.80
  6. Step 6: Final answer
    x = 1,139.91

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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.