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Finding the Fourth Proportional to 721.22, 994.88 and 596.16

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Solution

The fourth proportional to 721.22, 994.88 and 596.16 is: 822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.22 : 994.88 = 596.16 : x
  2. Step 2: Convert to fraction form
    721.22/994.88 = 596.16/x
  3. Step 3: Cross multiply
    721.22x = 994.88 × 596.16
  4. Step 4: Simplify right side
    721.22x = 593,109.15
  5. Step 5: Solve for x
    x = 593,109.15/721.22
  6. Step 6: Final answer
    x = 822.37

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