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Finding the Fourth Proportional to 723.43, 996.62 and 596.56

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Solution

The fourth proportional to 723.43, 996.62 and 596.56 is: 821.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.43 : 996.62 = 596.56 : x
  2. Step 2: Convert to fraction form
    723.43/996.62 = 596.56/x
  3. Step 3: Cross multiply
    723.43x = 996.62 × 596.56
  4. Step 4: Simplify right side
    723.43x = 594,540.64
  5. Step 5: Solve for x
    x = 594,540.64/723.43
  6. Step 6: Final answer
    x = 821.84

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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.