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Finding the Fourth Proportional to 872.03, 1,306.74 and 789.71

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Solution

The fourth proportional to 872.03, 1,306.74 and 789.71 is: 1,183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.03 : 1,306.74 = 789.71 : x
  2. Step 2: Convert to fraction form
    872.03/1,306.74 = 789.71/x
  3. Step 3: Cross multiply
    872.03x = 1,306.74 × 789.71
  4. Step 4: Simplify right side
    872.03x = 1,031,941.70
  5. Step 5: Solve for x
    x = 1,031,941.70/872.03
  6. Step 6: Final answer
    x = 1,183.38

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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.