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Finding the Fourth Proportional to 721.80, 994.50 and 596.79

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Solution

The fourth proportional to 721.80, 994.50 and 596.79 is: 822.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.80 : 994.50 = 596.79 : x
  2. Step 2: Convert to fraction form
    721.80/994.50 = 596.79/x
  3. Step 3: Cross multiply
    721.80x = 994.50 × 596.79
  4. Step 4: Simplify right side
    721.80x = 593,507.66
  5. Step 5: Solve for x
    x = 593,507.66/721.80
  6. Step 6: Final answer
    x = 822.26

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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.