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Finding the Fourth Proportional to 1,271.69, 1,906.21 and 449.34

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Solution

The fourth proportional to 1,271.69, 1,906.21 and 449.34 is: 673.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.69 : 1,906.21 = 449.34 : x
  2. Step 2: Convert to fraction form
    1,271.69/1,906.21 = 449.34/x
  3. Step 3: Cross multiply
    1,271.69x = 1,906.21 × 449.34
  4. Step 4: Simplify right side
    1,271.69x = 856,536.40
  5. Step 5: Solve for x
    x = 856,536.40/1,271.69
  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.