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Finding the Fourth Proportional to 1,469.44, 2,200.56 and 820.24

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Solution

The fourth proportional to 1,469.44, 2,200.56 and 820.24 is: 1,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.44 : 2,200.56 = 820.24 : x
  2. Step 2: Convert to fraction form
    1,469.44/2,200.56 = 820.24/x
  3. Step 3: Cross multiply
    1,469.44x = 2,200.56 × 820.24
  4. Step 4: Simplify right side
    1,469.44x = 1,804,987.33
  5. Step 5: Solve for x
    x = 1,804,987.33/1,469.44
  6. Step 6: Final answer
    x = 1,228.35

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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.