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Finding the Fourth Proportional to 969.56, 1,338.22 and 596.86

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Solution

The fourth proportional to 969.56, 1,338.22 and 596.86 is: 823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.56 : 1,338.22 = 596.86 : x
  2. Step 2: Convert to fraction form
    969.56/1,338.22 = 596.86/x
  3. Step 3: Cross multiply
    969.56x = 1,338.22 × 596.86
  4. Step 4: Simplify right side
    969.56x = 798,729.99
  5. Step 5: Solve for x
    x = 798,729.99/969.56
  6. Step 6: Final answer
    x = 823.81

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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.