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Finding the Fourth Proportional to 725.05, 1,000.49 and 430.27

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Solution

The fourth proportional to 725.05, 1,000.49 and 430.27 is: 593.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.05 : 1,000.49 = 430.27 : x
  2. Step 2: Convert to fraction form
    725.05/1,000.49 = 430.27/x
  3. Step 3: Cross multiply
    725.05x = 1,000.49 × 430.27
  4. Step 4: Simplify right side
    725.05x = 430,480.83
  5. Step 5: Solve for x
    x = 430,480.83/725.05
  6. Step 6: Final answer
    x = 593.73

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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.