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Finding the Fourth Proportional to 969.47, 1,338.34 and 596.77

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Solution

The fourth proportional to 969.47, 1,338.34 and 596.77 is: 823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.47 : 1,338.34 = 596.77 : x
  2. Step 2: Convert to fraction form
    969.47/1,338.34 = 596.77/x
  3. Step 3: Cross multiply
    969.47x = 1,338.34 × 596.77
  4. Step 4: Simplify right side
    969.47x = 798,684.97
  5. Step 5: Solve for x
    x = 798,684.97/969.47
  6. Step 6: Final answer
    x = 823.83

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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.