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Finding the Fourth Proportional to 969.88, 1,338.24 and 596.92

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Solution

The fourth proportional to 969.88, 1,338.24 and 596.92 is: 823.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.88 : 1,338.24 = 596.92 : x
  2. Step 2: Convert to fraction form
    969.88/1,338.24 = 596.92/x
  3. Step 3: Cross multiply
    969.88x = 1,338.24 × 596.92
  4. Step 4: Simplify right side
    969.88x = 798,822.22
  5. Step 5: Solve for x
    x = 798,822.22/969.88
  6. Step 6: Final answer
    x = 823.63

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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.