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Finding the Fourth Proportional to 742.68, 1,114.43 and 449.46

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Solution

The fourth proportional to 742.68, 1,114.43 and 449.46 is: 674.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.68 : 1,114.43 = 449.46 : x
  2. Step 2: Convert to fraction form
    742.68/1,114.43 = 449.46/x
  3. Step 3: Cross multiply
    742.68x = 1,114.43 × 449.46
  4. Step 4: Simplify right side
    742.68x = 500,889.46
  5. Step 5: Solve for x
    x = 500,889.46/742.68
  6. Step 6: Final answer
    x = 674.44

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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.