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Finding the Fourth Proportional to 969.52, 1,338.30 and 596.56

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Solution

The fourth proportional to 969.52, 1,338.30 and 596.56 is: 823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.52 : 1,338.30 = 596.56 : x
  2. Step 2: Convert to fraction form
    969.52/1,338.30 = 596.56/x
  3. Step 3: Cross multiply
    969.52x = 1,338.30 × 596.56
  4. Step 4: Simplify right side
    969.52x = 798,376.25
  5. Step 5: Solve for x
    x = 798,376.25/969.52
  6. Step 6: Final answer
    x = 823.48

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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.