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Finding the Fourth Proportional to 849.05, 1,273.46 and 271.88

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Solution

The fourth proportional to 849.05, 1,273.46 and 271.88 is: 407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.05 : 1,273.46 = 271.88 : x
  2. Step 2: Convert to fraction form
    849.05/1,273.46 = 271.88/x
  3. Step 3: Cross multiply
    849.05x = 1,273.46 × 271.88
  4. Step 4: Simplify right side
    849.05x = 346,220.58
  5. Step 5: Solve for x
    x = 346,220.58/849.05
  6. Step 6: Final answer
    x = 407.78

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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.