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Finding the Fourth Proportional to 891.43, 1,336.12 and 343.37

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Solution

The fourth proportional to 891.43, 1,336.12 and 343.37 is: 514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.43 : 1,336.12 = 343.37 : x
  2. Step 2: Convert to fraction form
    891.43/1,336.12 = 343.37/x
  3. Step 3: Cross multiply
    891.43x = 1,336.12 × 343.37
  4. Step 4: Simplify right side
    891.43x = 458,783.52
  5. Step 5: Solve for x
    x = 458,783.52/891.43
  6. Step 6: Final answer
    x = 514.66

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Why These Related Problems?

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