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Finding the Fourth Proportional to 1,243.05, 1,865.22 and 550.20

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Solution

The fourth proportional to 1,243.05, 1,865.22 and 550.20 is: 825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.05 : 1,865.22 = 550.20 : x
  2. Step 2: Convert to fraction form
    1,243.05/1,865.22 = 550.20/x
  3. Step 3: Cross multiply
    1,243.05x = 1,865.22 × 550.20
  4. Step 4: Simplify right side
    1,243.05x = 1,026,244.04
  5. Step 5: Solve for x
    x = 1,026,244.04/1,243.05
  6. Step 6: Final answer
    x = 825.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.