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Finding the Fourth Proportional to 950.54, 1,311.34 and 596.22

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Solution

The fourth proportional to 950.54, 1,311.34 and 596.22 is: 822.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.54 : 1,311.34 = 596.22 : x
  2. Step 2: Convert to fraction form
    950.54/1,311.34 = 596.22/x
  3. Step 3: Cross multiply
    950.54x = 1,311.34 × 596.22
  4. Step 4: Simplify right side
    950.54x = 781,849.22
  5. Step 5: Solve for x
    x = 781,849.22/950.54
  6. Step 6: Final answer
    x = 822.53

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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.