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Finding the Fourth Proportional to 792.26, 1,195.48 and 762.26

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Solution

The fourth proportional to 792.26, 1,195.48 and 762.26 is: 1,150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.26 : 1,195.48 = 762.26 : x
  2. Step 2: Convert to fraction form
    792.26/1,195.48 = 762.26/x
  3. Step 3: Cross multiply
    792.26x = 1,195.48 × 762.26
  4. Step 4: Simplify right side
    792.26x = 911,262.77
  5. Step 5: Solve for x
    x = 911,262.77/792.26
  6. Step 6: Final answer
    x = 1,150.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.