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Finding the Fourth Proportional to 849.37, 1,274.04 and 233.09

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Solution

The fourth proportional to 849.37, 1,274.04 and 233.09 is: 349.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.37 : 1,274.04 = 233.09 : x
  2. Step 2: Convert to fraction form
    849.37/1,274.04 = 233.09/x
  3. Step 3: Cross multiply
    849.37x = 1,274.04 × 233.09
  4. Step 4: Simplify right side
    849.37x = 296,965.98
  5. Step 5: Solve for x
    x = 296,965.98/849.37
  6. Step 6: Final answer
    x = 349.63

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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.