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Finding the Fourth Proportional to 1,229.09, 1,844.17 and 407.48

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Solution

The fourth proportional to 1,229.09, 1,844.17 and 407.48 is: 611.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.09 : 1,844.17 = 407.48 : x
  2. Step 2: Convert to fraction form
    1,229.09/1,844.17 = 407.48/x
  3. Step 3: Cross multiply
    1,229.09x = 1,844.17 × 407.48
  4. Step 4: Simplify right side
    1,229.09x = 751,452.15
  5. Step 5: Solve for x
    x = 751,452.15/1,229.09
  6. Step 6: Final answer
    x = 611.39

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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.