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Finding the Fourth Proportional to 950.56, 1,311.80 and 596.68

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Solution

The fourth proportional to 950.56, 1,311.80 and 596.68 is: 823.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.56 : 1,311.80 = 596.68 : x
  2. Step 2: Convert to fraction form
    950.56/1,311.80 = 596.68/x
  3. Step 3: Cross multiply
    950.56x = 1,311.80 × 596.68
  4. Step 4: Simplify right side
    950.56x = 782,724.82
  5. Step 5: Solve for x
    x = 782,724.82/950.56
  6. Step 6: Final answer
    x = 823.44

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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.