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Finding the Fourth Proportional to 921.69, 1,268.16 and 796.95

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Solution

The fourth proportional to 921.69, 1,268.16 and 796.95 is: 1,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.69 : 1,268.16 = 796.95 : x
  2. Step 2: Convert to fraction form
    921.69/1,268.16 = 796.95/x
  3. Step 3: Cross multiply
    921.69x = 1,268.16 × 796.95
  4. Step 4: Simplify right side
    921.69x = 1,010,660.11
  5. Step 5: Solve for x
    x = 1,010,660.11/921.69
  6. Step 6: Final answer
    x = 1,096.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.