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Finding the Fourth Proportional to 1,229.86, 1,843.56 and 449.23

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Solution

The fourth proportional to 1,229.86, 1,843.56 and 449.23 is: 673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.86 : 1,843.56 = 449.23 : x
  2. Step 2: Convert to fraction form
    1,229.86/1,843.56 = 449.23/x
  3. Step 3: Cross multiply
    1,229.86x = 1,843.56 × 449.23
  4. Step 4: Simplify right side
    1,229.86x = 828,182.46
  5. Step 5: Solve for x
    x = 828,182.46/1,229.86
  6. Step 6: Final answer
    x = 673.40

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Why These Related Problems?

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