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Finding the Fourth Proportional to 737.89, 1,011.67 and 724.73

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Solution

The fourth proportional to 737.89, 1,011.67 and 724.73 is: 993.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.89 : 1,011.67 = 724.73 : x
  2. Step 2: Convert to fraction form
    737.89/1,011.67 = 724.73/x
  3. Step 3: Cross multiply
    737.89x = 1,011.67 × 724.73
  4. Step 4: Simplify right side
    737.89x = 733,190.50
  5. Step 5: Solve for x
    x = 733,190.50/737.89
  6. Step 6: Final answer
    x = 993.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.