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Finding the Fourth Proportional to 958.43, 1,321.82 and 809.78

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Solution

The fourth proportional to 958.43, 1,321.82 and 809.78 is: 1,116.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.43 : 1,321.82 = 809.78 : x
  2. Step 2: Convert to fraction form
    958.43/1,321.82 = 809.78/x
  3. Step 3: Cross multiply
    958.43x = 1,321.82 × 809.78
  4. Step 4: Simplify right side
    958.43x = 1,070,386.70
  5. Step 5: Solve for x
    x = 1,070,386.70/958.43
  6. Step 6: Final answer
    x = 1,116.81

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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.