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Finding the Fourth Proportional to 950.48, 1,422.48 and 796.58

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Solution

The fourth proportional to 950.48, 1,422.48 and 796.58 is: 1,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.48 : 1,422.48 = 796.58 : x
  2. Step 2: Convert to fraction form
    950.48/1,422.48 = 796.58/x
  3. Step 3: Cross multiply
    950.48x = 1,422.48 × 796.58
  4. Step 4: Simplify right side
    950.48x = 1,133,115.14
  5. Step 5: Solve for x
    x = 1,133,115.14/950.48
  6. Step 6: Final answer
    x = 1,192.15

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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.