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Finding the Fourth Proportional to 1,093.78, 1,640.64 and 363.16

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Solution

The fourth proportional to 1,093.78, 1,640.64 and 363.16 is: 544.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.78 : 1,640.64 = 363.16 : x
  2. Step 2: Convert to fraction form
    1,093.78/1,640.64 = 363.16/x
  3. Step 3: Cross multiply
    1,093.78x = 1,640.64 × 363.16
  4. Step 4: Simplify right side
    1,093.78x = 595,814.82
  5. Step 5: Solve for x
    x = 595,814.82/1,093.78
  6. Step 6: Final answer
    x = 544.73

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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.