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Finding the Fourth Proportional to 1,505.97, 2,078.19 and 842.82

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Solution

The fourth proportional to 1,505.97, 2,078.19 and 842.82 is: 1,163.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.97 : 2,078.19 = 842.82 : x
  2. Step 2: Convert to fraction form
    1,505.97/2,078.19 = 842.82/x
  3. Step 3: Cross multiply
    1,505.97x = 2,078.19 × 842.82
  4. Step 4: Simplify right side
    1,505.97x = 1,751,540.10
  5. Step 5: Solve for x
    x = 1,751,540.10/1,505.97
  6. Step 6: Final answer
    x = 1,163.06

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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.