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Finding the Fourth Proportional to 1,270.68, 1,906.14 and 449.42

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Solution

The fourth proportional to 1,270.68, 1,906.14 and 449.42 is: 674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.68 : 1,906.14 = 449.42 : x
  2. Step 2: Convert to fraction form
    1,270.68/1,906.14 = 449.42/x
  3. Step 3: Cross multiply
    1,270.68x = 1,906.14 × 449.42
  4. Step 4: Simplify right side
    1,270.68x = 856,657.44
  5. Step 5: Solve for x
    x = 856,657.44/1,270.68
  6. Step 6: Final answer
    x = 674.17

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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.