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Finding the Fourth Proportional to 989.80, 1,365.72 and 596.85

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Solution

The fourth proportional to 989.80, 1,365.72 and 596.85 is: 823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.80 : 1,365.72 = 596.85 : x
  2. Step 2: Convert to fraction form
    989.80/1,365.72 = 596.85/x
  3. Step 3: Cross multiply
    989.80x = 1,365.72 × 596.85
  4. Step 4: Simplify right side
    989.80x = 815,129.98
  5. Step 5: Solve for x
    x = 815,129.98/989.80
  6. Step 6: Final answer
    x = 823.53

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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.