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Finding the Fourth Proportional to 725.23, 1,000.49 and 445.44

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Solution

The fourth proportional to 725.23, 1,000.49 and 445.44 is: 614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.23 : 1,000.49 = 445.44 : x
  2. Step 2: Convert to fraction form
    725.23/1,000.49 = 445.44/x
  3. Step 3: Cross multiply
    725.23x = 1,000.49 × 445.44
  4. Step 4: Simplify right side
    725.23x = 445,659.38
  5. Step 5: Solve for x
    x = 445,659.38/725.23
  6. Step 6: Final answer
    x = 614.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.