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Finding the Fourth Proportional to 736.93, 1,105.24 and 216.97

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Solution

The fourth proportional to 736.93, 1,105.24 and 216.97 is: 325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.93 : 1,105.24 = 216.97 : x
  2. Step 2: Convert to fraction form
    736.93/1,105.24 = 216.97/x
  3. Step 3: Cross multiply
    736.93x = 1,105.24 × 216.97
  4. Step 4: Simplify right side
    736.93x = 239,804.49
  5. Step 5: Solve for x
    x = 239,804.49/736.93
  6. Step 6: Final answer
    x = 325.41

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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.