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Finding the Fourth Proportional to 846.57, 1,269.69 and 326.56

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Solution

The fourth proportional to 846.57, 1,269.69 and 326.56 is: 489.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.57 : 1,269.69 = 326.56 : x
  2. Step 2: Convert to fraction form
    846.57/1,269.69 = 326.56/x
  3. Step 3: Cross multiply
    846.57x = 1,269.69 × 326.56
  4. Step 4: Simplify right side
    846.57x = 414,629.97
  5. Step 5: Solve for x
    x = 414,629.97/846.57
  6. Step 6: Final answer
    x = 489.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.