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Finding the Fourth Proportional to 1,469.97, 2,028.51 and 880.20

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Solution

The fourth proportional to 1,469.97, 2,028.51 and 880.20 is: 1,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.97 : 2,028.51 = 880.20 : x
  2. Step 2: Convert to fraction form
    1,469.97/2,028.51 = 880.20/x
  3. Step 3: Cross multiply
    1,469.97x = 2,028.51 × 880.20
  4. Step 4: Simplify right side
    1,469.97x = 1,785,494.50
  5. Step 5: Solve for x
    x = 1,785,494.50/1,469.97
  6. Step 6: Final answer
    x = 1,214.65

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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.