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Finding the Fourth Proportional to 1,268.93, 1,751.30 and 744.96

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Solution

The fourth proportional to 1,268.93, 1,751.30 and 744.96 is: 1,028.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.93 : 1,751.30 = 744.96 : x
  2. Step 2: Convert to fraction form
    1,268.93/1,751.30 = 744.96/x
  3. Step 3: Cross multiply
    1,268.93x = 1,751.30 × 744.96
  4. Step 4: Simplify right side
    1,268.93x = 1,304,644.72
  5. Step 5: Solve for x
    x = 1,304,644.72/1,268.93
  6. Step 6: Final answer
    x = 1,028.15

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