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Finding the Fourth Proportional to 1,268.90, 1,751.89 and 797.03

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Solution

The fourth proportional to 1,268.90, 1,751.89 and 797.03 is: 1,100.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.90 : 1,751.89 = 797.03 : x
  2. Step 2: Convert to fraction form
    1,268.90/1,751.89 = 797.03/x
  3. Step 3: Cross multiply
    1,268.90x = 1,751.89 × 797.03
  4. Step 4: Simplify right side
    1,268.90x = 1,396,308.89
  5. Step 5: Solve for x
    x = 1,396,308.89/1,268.90
  6. Step 6: Final answer
    x = 1,100.41

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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.