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Finding the Fourth Proportional to 736.92, 1,105.43 and 189.12

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Solution

The fourth proportional to 736.92, 1,105.43 and 189.12 is: 283.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.92 : 1,105.43 = 189.12 : x
  2. Step 2: Convert to fraction form
    736.92/1,105.43 = 189.12/x
  3. Step 3: Cross multiply
    736.92x = 1,105.43 × 189.12
  4. Step 4: Simplify right side
    736.92x = 209,057.98
  5. Step 5: Solve for x
    x = 209,057.98/736.92
  6. Step 6: Final answer
    x = 283.69

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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.