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Finding the Fourth Proportional to 891.40, 1,336.80 and 343.54

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Solution

The fourth proportional to 891.40, 1,336.80 and 343.54 is: 515.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.40 : 1,336.80 = 343.54 : x
  2. Step 2: Convert to fraction form
    891.40/1,336.80 = 343.54/x
  3. Step 3: Cross multiply
    891.40x = 1,336.80 × 343.54
  4. Step 4: Simplify right side
    891.40x = 459,235.87
  5. Step 5: Solve for x
    x = 459,235.87/891.40
  6. Step 6: Final answer
    x = 515.18

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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.