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Finding the Fourth Proportional to 736.94, 1,105.59 and 243.38

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Solution

The fourth proportional to 736.94, 1,105.59 and 243.38 is: 365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.94 : 1,105.59 = 243.38 : x
  2. Step 2: Convert to fraction form
    736.94/1,105.59 = 243.38/x
  3. Step 3: Cross multiply
    736.94x = 1,105.59 × 243.38
  4. Step 4: Simplify right side
    736.94x = 269,078.89
  5. Step 5: Solve for x
    x = 269,078.89/736.94
  6. Step 6: Final answer
    x = 365.13

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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.