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Finding the Fourth Proportional to 950.44, 1,311.76 and 792.80

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Solution

The fourth proportional to 950.44, 1,311.76 and 792.80 is: 1,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.44 : 1,311.76 = 792.80 : x
  2. Step 2: Convert to fraction form
    950.44/1,311.76 = 792.80/x
  3. Step 3: Cross multiply
    950.44x = 1,311.76 × 792.80
  4. Step 4: Simplify right side
    950.44x = 1,039,963.33
  5. Step 5: Solve for x
    x = 1,039,963.33/950.44
  6. Step 6: Final answer
    x = 1,094.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.