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Finding the Fourth Proportional to 851.73, 1,277.55 and 274.56

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Solution

The fourth proportional to 851.73, 1,277.55 and 274.56 is: 411.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.73 : 1,277.55 = 274.56 : x
  2. Step 2: Convert to fraction form
    851.73/1,277.55 = 274.56/x
  3. Step 3: Cross multiply
    851.73x = 1,277.55 × 274.56
  4. Step 4: Simplify right side
    851.73x = 350,764.13
  5. Step 5: Solve for x
    x = 350,764.13/851.73
  6. Step 6: Final answer
    x = 411.83

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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.