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Finding the Fourth Proportional to 849.73, 1,274.48 and 272.53

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Solution

The fourth proportional to 849.73, 1,274.48 and 272.53 is: 408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.73 : 1,274.48 = 272.53 : x
  2. Step 2: Convert to fraction form
    849.73/1,274.48 = 272.53/x
  3. Step 3: Cross multiply
    849.73x = 1,274.48 × 272.53
  4. Step 4: Simplify right side
    849.73x = 347,332.67
  5. Step 5: Solve for x
    x = 347,332.67/849.73
  6. Step 6: Final answer
    x = 408.76

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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.