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Finding the Fourth Proportional to 874.13, 1,310.92 and 326.16

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Solution

The fourth proportional to 874.13, 1,310.92 and 326.16 is: 489.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.13 : 1,310.92 = 326.16 : x
  2. Step 2: Convert to fraction form
    874.13/1,310.92 = 326.16/x
  3. Step 3: Cross multiply
    874.13x = 1,310.92 × 326.16
  4. Step 4: Simplify right side
    874.13x = 427,568.85
  5. Step 5: Solve for x
    x = 427,568.85/874.13
  6. Step 6: Final answer
    x = 489.14

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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.