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Finding the Fourth Proportional to 792.56, 1,183.57 and 783.97

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Solution

The fourth proportional to 792.56, 1,183.57 and 783.97 is: 1,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.56 : 1,183.57 = 783.97 : x
  2. Step 2: Convert to fraction form
    792.56/1,183.57 = 783.97/x
  3. Step 3: Cross multiply
    792.56x = 1,183.57 × 783.97
  4. Step 4: Simplify right side
    792.56x = 927,883.37
  5. Step 5: Solve for x
    x = 927,883.37/792.56
  6. Step 6: Final answer
    x = 1,170.74

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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.