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Finding the Fourth Proportional to 849.44, 1,274.37 and 362.53

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Solution

The fourth proportional to 849.44, 1,274.37 and 362.53 is: 543.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.44 : 1,274.37 = 362.53 : x
  2. Step 2: Convert to fraction form
    849.44/1,274.37 = 362.53/x
  3. Step 3: Cross multiply
    849.44x = 1,274.37 × 362.53
  4. Step 4: Simplify right side
    849.44x = 461,997.59
  5. Step 5: Solve for x
    x = 461,997.59/849.44
  6. Step 6: Final answer
    x = 543.88

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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.