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Finding the Fourth Proportional to 848.22, 1,268.81 and 796.38

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Solution

The fourth proportional to 848.22, 1,268.81 and 796.38 is: 1,191.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.22 : 1,268.81 = 796.38 : x
  2. Step 2: Convert to fraction form
    848.22/1,268.81 = 796.38/x
  3. Step 3: Cross multiply
    848.22x = 1,268.81 × 796.38
  4. Step 4: Simplify right side
    848.22x = 1,010,454.91
  5. Step 5: Solve for x
    x = 1,010,454.91/848.22
  6. Step 6: Final answer
    x = 1,191.27

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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.