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Finding the Fourth Proportional to 1,363.64, 1,881.83 and 796.43

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Solution

The fourth proportional to 1,363.64, 1,881.83 and 796.43 is: 1,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.64 : 1,881.83 = 796.43 : x
  2. Step 2: Convert to fraction form
    1,363.64/1,881.83 = 796.43/x
  3. Step 3: Cross multiply
    1,363.64x = 1,881.83 × 796.43
  4. Step 4: Simplify right side
    1,363.64x = 1,498,752.56
  5. Step 5: Solve for x
    x = 1,498,752.56/1,363.64
  6. Step 6: Final answer
    x = 1,099.09

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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.