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Finding the Fourth Proportional to 1,093.90, 1,640.61 and 363.54

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Solution

The fourth proportional to 1,093.90, 1,640.61 and 363.54 is: 545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.90 : 1,640.61 = 363.54 : x
  2. Step 2: Convert to fraction form
    1,093.90/1,640.61 = 363.54/x
  3. Step 3: Cross multiply
    1,093.90x = 1,640.61 × 363.54
  4. Step 4: Simplify right side
    1,093.90x = 596,427.36
  5. Step 5: Solve for x
    x = 596,427.36/1,093.90
  6. Step 6: Final answer
    x = 545.23

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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.