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Finding the Fourth Proportional to 1,469.46, 2,028.84 and 880.20

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Solution

The fourth proportional to 1,469.46, 2,028.84 and 880.20 is: 1,215.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.46 : 2,028.84 = 880.20 : x
  2. Step 2: Convert to fraction form
    1,469.46/2,028.84 = 880.20/x
  3. Step 3: Cross multiply
    1,469.46x = 2,028.84 × 880.20
  4. Step 4: Simplify right side
    1,469.46x = 1,785,784.97
  5. Step 5: Solve for x
    x = 1,785,784.97/1,469.46
  6. Step 6: Final answer
    x = 1,215.27

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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.