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Finding the Fourth Proportional to 851.92, 1,277.83 and 274.75

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Solution

The fourth proportional to 851.92, 1,277.83 and 274.75 is: 412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.92 : 1,277.83 = 274.75 : x
  2. Step 2: Convert to fraction form
    851.92/1,277.83 = 274.75/x
  3. Step 3: Cross multiply
    851.92x = 1,277.83 × 274.75
  4. Step 4: Simplify right side
    851.92x = 351,083.79
  5. Step 5: Solve for x
    x = 351,083.79/851.92
  6. Step 6: Final answer
    x = 412.11

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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.