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Finding the Fourth Proportional to 969.57, 1,337.67 and 596.43

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Solution

The fourth proportional to 969.57, 1,337.67 and 596.43 is: 822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.57 : 1,337.67 = 596.43 : x
  2. Step 2: Convert to fraction form
    969.57/1,337.67 = 596.43/x
  3. Step 3: Cross multiply
    969.57x = 1,337.67 × 596.43
  4. Step 4: Simplify right side
    969.57x = 797,826.52
  5. Step 5: Solve for x
    x = 797,826.52/969.57
  6. Step 6: Final answer
    x = 822.87

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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.