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Finding the Fourth Proportional to 1,093.82, 1,640.84 and 363.23

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Solution

The fourth proportional to 1,093.82, 1,640.84 and 363.23 is: 544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.82 : 1,640.84 = 363.23 : x
  2. Step 2: Convert to fraction form
    1,093.82/1,640.84 = 363.23/x
  3. Step 3: Cross multiply
    1,093.82x = 1,640.84 × 363.23
  4. Step 4: Simplify right side
    1,093.82x = 595,992.29
  5. Step 5: Solve for x
    x = 595,992.29/1,093.82
  6. Step 6: Final answer
    x = 544.87

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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.