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Finding the Fourth Proportional to 969.62, 1,338.46 and 596.74

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Solution

The fourth proportional to 969.62, 1,338.46 and 596.74 is: 823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.62 : 1,338.46 = 596.74 : x
  2. Step 2: Convert to fraction form
    969.62/1,338.46 = 596.74/x
  3. Step 3: Cross multiply
    969.62x = 1,338.46 × 596.74
  4. Step 4: Simplify right side
    969.62x = 798,712.62
  5. Step 5: Solve for x
    x = 798,712.62/969.62
  6. Step 6: Final answer
    x = 823.74

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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.