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Finding the Fourth Proportional to 1,093.38, 1,640.07 and 400.14

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Solution

The fourth proportional to 1,093.38, 1,640.07 and 400.14 is: 600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.38 : 1,640.07 = 400.14 : x
  2. Step 2: Convert to fraction form
    1,093.38/1,640.07 = 400.14/x
  3. Step 3: Cross multiply
    1,093.38x = 1,640.07 × 400.14
  4. Step 4: Simplify right side
    1,093.38x = 656,257.61
  5. Step 5: Solve for x
    x = 656,257.61/1,093.38
  6. Step 6: Final answer
    x = 600.21

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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.