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Finding the Fourth Proportional to 843.06, 1,163.48 and 489.08

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Solution

The fourth proportional to 843.06, 1,163.48 and 489.08 is: 674.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.06 : 1,163.48 = 489.08 : x
  2. Step 2: Convert to fraction form
    843.06/1,163.48 = 489.08/x
  3. Step 3: Cross multiply
    843.06x = 1,163.48 × 489.08
  4. Step 4: Simplify right side
    843.06x = 569,028.98
  5. Step 5: Solve for x
    x = 569,028.98/843.06
  6. Step 6: Final answer
    x = 674.96

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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.