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Finding the Fourth Proportional to 792.86, 1,183.46 and 737.15

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Solution

The fourth proportional to 792.86, 1,183.46 and 737.15 is: 1,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.86 : 1,183.46 = 737.15 : x
  2. Step 2: Convert to fraction form
    792.86/1,183.46 = 737.15/x
  3. Step 3: Cross multiply
    792.86x = 1,183.46 × 737.15
  4. Step 4: Simplify right side
    792.86x = 872,377.94
  5. Step 5: Solve for x
    x = 872,377.94/792.86
  6. Step 6: Final answer
    x = 1,100.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.