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Finding the Fourth Proportional to 1,469.91, 2,028.48 and 806.76

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Solution

The fourth proportional to 1,469.91, 2,028.48 and 806.76 is: 1,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.91 : 2,028.48 = 806.76 : x
  2. Step 2: Convert to fraction form
    1,469.91/2,028.48 = 806.76/x
  3. Step 3: Cross multiply
    1,469.91x = 2,028.48 × 806.76
  4. Step 4: Simplify right side
    1,469.91x = 1,636,493.50
  5. Step 5: Solve for x
    x = 1,636,493.50/1,469.91
  6. Step 6: Final answer
    x = 1,113.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.