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Finding the Fourth Proportional to 1,093.89, 1,639.01 and 768.68

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Solution

The fourth proportional to 1,093.89, 1,639.01 and 768.68 is: 1,151.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.89 : 1,639.01 = 768.68 : x
  2. Step 2: Convert to fraction form
    1,093.89/1,639.01 = 768.68/x
  3. Step 3: Cross multiply
    1,093.89x = 1,639.01 × 768.68
  4. Step 4: Simplify right side
    1,093.89x = 1,259,865.05
  5. Step 5: Solve for x
    x = 1,259,865.05/1,093.89
  6. Step 6: Final answer
    x = 1,151.73

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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.