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Finding the Fourth Proportional to 950.32, 1,424.26 and 487.72

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Solution

The fourth proportional to 950.32, 1,424.26 and 487.72 is: 730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.32 : 1,424.26 = 487.72 : x
  2. Step 2: Convert to fraction form
    950.32/1,424.26 = 487.72/x
  3. Step 3: Cross multiply
    950.32x = 1,424.26 × 487.72
  4. Step 4: Simplify right side
    950.32x = 694,640.09
  5. Step 5: Solve for x
    x = 694,640.09/950.32
  6. Step 6: Final answer
    x = 730.95

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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.