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Finding the Fourth Proportional to 1,506.44, 2,078.82 and 843.28

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Solution

The fourth proportional to 1,506.44, 2,078.82 and 843.28 is: 1,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.44 : 2,078.82 = 843.28 : x
  2. Step 2: Convert to fraction form
    1,506.44/2,078.82 = 843.28/x
  3. Step 3: Cross multiply
    1,506.44x = 2,078.82 × 843.28
  4. Step 4: Simplify right side
    1,506.44x = 1,753,027.33
  5. Step 5: Solve for x
    x = 1,753,027.33/1,506.44
  6. Step 6: Final answer
    x = 1,163.69

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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.