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Finding the Fourth Proportional to 1,093.95, 1,640.43 and 400.41

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Solution

The fourth proportional to 1,093.95, 1,640.43 and 400.41 is: 600.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.95 : 1,640.43 = 400.41 : x
  2. Step 2: Convert to fraction form
    1,093.95/1,640.43 = 400.41/x
  3. Step 3: Cross multiply
    1,093.95x = 1,640.43 × 400.41
  4. Step 4: Simplify right side
    1,093.95x = 656,844.58
  5. Step 5: Solve for x
    x = 656,844.58/1,093.95
  6. Step 6: Final answer
    x = 600.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.