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Finding the Fourth Proportional to 891.43, 1,336.89 and 343.21

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Solution

The fourth proportional to 891.43, 1,336.89 and 343.21 is: 514.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.43 : 1,336.89 = 343.21 : x
  2. Step 2: Convert to fraction form
    891.43/1,336.89 = 343.21/x
  3. Step 3: Cross multiply
    891.43x = 1,336.89 × 343.21
  4. Step 4: Simplify right side
    891.43x = 458,834.02
  5. Step 5: Solve for x
    x = 458,834.02/891.43
  6. Step 6: Final answer
    x = 514.72

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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.