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Finding the Fourth Proportional to 950.33, 1,311.69 and 596.57

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Solution

The fourth proportional to 950.33, 1,311.69 and 596.57 is: 823.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.33 : 1,311.69 = 596.57 : x
  2. Step 2: Convert to fraction form
    950.33/1,311.69 = 596.57/x
  3. Step 3: Cross multiply
    950.33x = 1,311.69 × 596.57
  4. Step 4: Simplify right side
    950.33x = 782,510.58
  5. Step 5: Solve for x
    x = 782,510.58/950.33
  6. Step 6: Final answer
    x = 823.41

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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.