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Finding the Fourth Proportional to 891.05, 1,336.59 and 274.73

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Solution

The fourth proportional to 891.05, 1,336.59 and 274.73 is: 412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.05 : 1,336.59 = 274.73 : x
  2. Step 2: Convert to fraction form
    891.05/1,336.59 = 274.73/x
  3. Step 3: Cross multiply
    891.05x = 1,336.59 × 274.73
  4. Step 4: Simplify right side
    891.05x = 367,194.69
  5. Step 5: Solve for x
    x = 367,194.69/891.05
  6. Step 6: Final answer
    x = 412.09

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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.