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Finding the Fourth Proportional to 851.73, 1,277.69 and 486.42

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Solution

The fourth proportional to 851.73, 1,277.69 and 486.42 is: 729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.73 : 1,277.69 = 486.42 : x
  2. Step 2: Convert to fraction form
    851.73/1,277.69 = 486.42/x
  3. Step 3: Cross multiply
    851.73x = 1,277.69 × 486.42
  4. Step 4: Simplify right side
    851.73x = 621,493.97
  5. Step 5: Solve for x
    x = 621,493.97/851.73
  6. Step 6: Final answer
    x = 729.68

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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.