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Finding the Fourth Proportional to 950.66, 1,424.06 and 796.15

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Solution

The fourth proportional to 950.66, 1,424.06 and 796.15 is: 1,192.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.66 : 1,424.06 = 796.15 : x
  2. Step 2: Convert to fraction form
    950.66/1,424.06 = 796.15/x
  3. Step 3: Cross multiply
    950.66x = 1,424.06 × 796.15
  4. Step 4: Simplify right side
    950.66x = 1,133,765.37
  5. Step 5: Solve for x
    x = 1,133,765.37/950.66
  6. Step 6: Final answer
    x = 1,192.61

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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.