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Finding the Fourth Proportional to 1,067.84, 1,469.34 and 819.06

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Solution

The fourth proportional to 1,067.84, 1,469.34 and 819.06 is: 1,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.84 : 1,469.34 = 819.06 : x
  2. Step 2: Convert to fraction form
    1,067.84/1,469.34 = 819.06/x
  3. Step 3: Cross multiply
    1,067.84x = 1,469.34 × 819.06
  4. Step 4: Simplify right side
    1,067.84x = 1,203,477.62
  5. Step 5: Solve for x
    x = 1,203,477.62/1,067.84
  6. Step 6: Final answer
    x = 1,127.02

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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.