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Finding the Fourth Proportional to 1,093.86, 1,640.78 and 363.49

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Solution

The fourth proportional to 1,093.86, 1,640.78 and 363.49 is: 545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.86 : 1,640.78 = 363.49 : x
  2. Step 2: Convert to fraction form
    1,093.86/1,640.78 = 363.49/x
  3. Step 3: Cross multiply
    1,093.86x = 1,640.78 × 363.49
  4. Step 4: Simplify right side
    1,093.86x = 596,407.12
  5. Step 5: Solve for x
    x = 596,407.12/1,093.86
  6. Step 6: Final answer
    x = 545.23

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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.