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Finding the Fourth Proportional to 969.92, 1,337.71 and 596.23

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Solution

The fourth proportional to 969.92, 1,337.71 and 596.23 is: 822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.92 : 1,337.71 = 596.23 : x
  2. Step 2: Convert to fraction form
    969.92/1,337.71 = 596.23/x
  3. Step 3: Cross multiply
    969.92x = 1,337.71 × 596.23
  4. Step 4: Simplify right side
    969.92x = 797,584.96
  5. Step 5: Solve for x
    x = 797,584.96/969.92
  6. Step 6: Final answer
    x = 822.32

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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.