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Finding the Fourth Proportional to 950.32, 1,422.96 and 538.84

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Solution

The fourth proportional to 950.32, 1,422.96 and 538.84 is: 806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.32 : 1,422.96 = 538.84 : x
  2. Step 2: Convert to fraction form
    950.32/1,422.96 = 538.84/x
  3. Step 3: Cross multiply
    950.32x = 1,422.96 × 538.84
  4. Step 4: Simplify right side
    950.32x = 766,747.77
  5. Step 5: Solve for x
    x = 766,747.77/950.32
  6. Step 6: Final answer
    x = 806.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.