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Finding the Fourth Proportional to 950.79, 1,424.25 and 796.28

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Solution

The fourth proportional to 950.79, 1,424.25 and 796.28 is: 1,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.79 : 1,424.25 = 796.28 : x
  2. Step 2: Convert to fraction form
    950.79/1,424.25 = 796.28/x
  3. Step 3: Cross multiply
    950.79x = 1,424.25 × 796.28
  4. Step 4: Simplify right side
    950.79x = 1,134,090.69
  5. Step 5: Solve for x
    x = 1,134,090.69/950.79
  6. Step 6: Final answer
    x = 1,192.79

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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.