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Finding the Fourth Proportional to 1,229.44, 1,844.54 and 580.56

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Solution

The fourth proportional to 1,229.44, 1,844.54 and 580.56 is: 871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.44 : 1,844.54 = 580.56 : x
  2. Step 2: Convert to fraction form
    1,229.44/1,844.54 = 580.56/x
  3. Step 3: Cross multiply
    1,229.44x = 1,844.54 × 580.56
  4. Step 4: Simplify right side
    1,229.44x = 1,070,866.14
  5. Step 5: Solve for x
    x = 1,070,866.14/1,229.44
  6. Step 6: Final answer
    x = 871.02

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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.