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Finding the Fourth Proportional to 849.73, 1,274.17 and 301.83

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Solution

The fourth proportional to 849.73, 1,274.17 and 301.83 is: 452.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.73 : 1,274.17 = 301.83 : x
  2. Step 2: Convert to fraction form
    849.73/1,274.17 = 301.83/x
  3. Step 3: Cross multiply
    849.73x = 1,274.17 × 301.83
  4. Step 4: Simplify right side
    849.73x = 384,582.73
  5. Step 5: Solve for x
    x = 384,582.73/849.73
  6. Step 6: Final answer
    x = 452.59

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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.