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Finding the Fourth Proportional to 725.23, 1,000.77 and 422.49

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Solution

The fourth proportional to 725.23, 1,000.77 and 422.49 is: 583.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.23 : 1,000.77 = 422.49 : x
  2. Step 2: Convert to fraction form
    725.23/1,000.77 = 422.49/x
  3. Step 3: Cross multiply
    725.23x = 1,000.77 × 422.49
  4. Step 4: Simplify right side
    725.23x = 422,818.24
  5. Step 5: Solve for x
    x = 422,818.24/725.23
  6. Step 6: Final answer
    x = 583.01

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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.