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Finding the Fourth Proportional to 1,093.41, 1,640.55 and 400.13

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Solution

The fourth proportional to 1,093.41, 1,640.55 and 400.13 is: 600.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.41 : 1,640.55 = 400.13 : x
  2. Step 2: Convert to fraction form
    1,093.41/1,640.55 = 400.13/x
  3. Step 3: Cross multiply
    1,093.41x = 1,640.55 × 400.13
  4. Step 4: Simplify right side
    1,093.41x = 656,433.27
  5. Step 5: Solve for x
    x = 656,433.27/1,093.41
  6. Step 6: Final answer
    x = 600.35

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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.