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Finding the Fourth Proportional to 736.52, 1,104.90 and 249.46

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Solution

The fourth proportional to 736.52, 1,104.90 and 249.46 is: 374.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.52 : 1,104.90 = 249.46 : x
  2. Step 2: Convert to fraction form
    736.52/1,104.90 = 249.46/x
  3. Step 3: Cross multiply
    736.52x = 1,104.90 × 249.46
  4. Step 4: Simplify right side
    736.52x = 275,628.35
  5. Step 5: Solve for x
    x = 275,628.35/736.52
  6. Step 6: Final answer
    x = 374.23

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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.