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Finding the Fourth Proportional to 1,271.20, 1,906.80 and 449.03

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Solution

The fourth proportional to 1,271.20, 1,906.80 and 449.03 is: 673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.20 : 1,906.80 = 449.03 : x
  2. Step 2: Convert to fraction form
    1,271.20/1,906.80 = 449.03/x
  3. Step 3: Cross multiply
    1,271.20x = 1,906.80 × 449.03
  4. Step 4: Simplify right side
    1,271.20x = 856,198.62
  5. Step 5: Solve for x
    x = 856,198.62/1,271.20
  6. Step 6: Final answer
    x = 673.54

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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.