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Finding the Fourth Proportional to 893.62, 1,338 and 733.24

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Solution

The fourth proportional to 893.62, 1,338 and 733.24 is: 1,097.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.62 : 1,338 = 733.24 : x
  2. Step 2: Convert to fraction form
    893.62/1,338 = 733.24/x
  3. Step 3: Cross multiply
    893.62x = 1,338 × 733.24
  4. Step 4: Simplify right side
    893.62x = 981,075.12
  5. Step 5: Solve for x
    x = 981,075.12/893.62
  6. Step 6: Final answer
    x = 1,097.87

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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.