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Finding the Fourth Proportional to 1,469.73, 2,028.24 and 806.57

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Solution

The fourth proportional to 1,469.73, 2,028.24 and 806.57 is: 1,113.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.73 : 2,028.24 = 806.57 : x
  2. Step 2: Convert to fraction form
    1,469.73/2,028.24 = 806.57/x
  3. Step 3: Cross multiply
    1,469.73x = 2,028.24 × 806.57
  4. Step 4: Simplify right side
    1,469.73x = 1,635,911.57
  5. Step 5: Solve for x
    x = 1,635,911.57/1,469.73
  6. Step 6: Final answer
    x = 1,113.07

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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.