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Finding the Fourth Proportional to 736.75, 1,105.22 and 371.34

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Solution

The fourth proportional to 736.75, 1,105.22 and 371.34 is: 557.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.75 : 1,105.22 = 371.34 : x
  2. Step 2: Convert to fraction form
    736.75/1,105.22 = 371.34/x
  3. Step 3: Cross multiply
    736.75x = 1,105.22 × 371.34
  4. Step 4: Simplify right side
    736.75x = 410,413.32
  5. Step 5: Solve for x
    x = 410,413.32/736.75
  6. Step 6: Final answer
    x = 557.06

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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.