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Finding the Fourth Proportional to 893.44, 1,338.22 and 737.62

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Solution

The fourth proportional to 893.44, 1,338.22 and 737.62 is: 1,104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.44 : 1,338.22 = 737.62 : x
  2. Step 2: Convert to fraction form
    893.44/1,338.22 = 737.62/x
  3. Step 3: Cross multiply
    893.44x = 1,338.22 × 737.62
  4. Step 4: Simplify right side
    893.44x = 987,097.84
  5. Step 5: Solve for x
    x = 987,097.84/893.44
  6. Step 6: Final answer
    x = 1,104.83

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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.