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Finding the Fourth Proportional to 736.90, 1,105.44 and 371.62

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Solution

The fourth proportional to 736.90, 1,105.44 and 371.62 is: 557.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.90 : 1,105.44 = 371.62 : x
  2. Step 2: Convert to fraction form
    736.90/1,105.44 = 371.62/x
  3. Step 3: Cross multiply
    736.90x = 1,105.44 × 371.62
  4. Step 4: Simplify right side
    736.90x = 410,803.61
  5. Step 5: Solve for x
    x = 410,803.61/736.90
  6. Step 6: Final answer
    x = 557.48

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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.