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Finding the Fourth Proportional to 989.44, 1,365.20 and 596.32

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Solution

The fourth proportional to 989.44, 1,365.20 and 596.32 is: 822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.44 : 1,365.20 = 596.32 : x
  2. Step 2: Convert to fraction form
    989.44/1,365.20 = 596.32/x
  3. Step 3: Cross multiply
    989.44x = 1,365.20 × 596.32
  4. Step 4: Simplify right side
    989.44x = 814,096.06
  5. Step 5: Solve for x
    x = 814,096.06/989.44
  6. Step 6: Final answer
    x = 822.78

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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.