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Finding the Fourth Proportional to 1,268.70, 1,751.92 and 797.42

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Solution

The fourth proportional to 1,268.70, 1,751.92 and 797.42 is: 1,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.70 : 1,751.92 = 797.42 : x
  2. Step 2: Convert to fraction form
    1,268.70/1,751.92 = 797.42/x
  3. Step 3: Cross multiply
    1,268.70x = 1,751.92 × 797.42
  4. Step 4: Simplify right side
    1,268.70x = 1,397,007.29
  5. Step 5: Solve for x
    x = 1,397,007.29/1,268.70
  6. Step 6: Final answer
    x = 1,101.13

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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.