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Finding the Fourth Proportional to 1,268.97, 1,904.31 and 447.26

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Solution

The fourth proportional to 1,268.97, 1,904.31 and 447.26 is: 671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.97 : 1,904.31 = 447.26 : x
  2. Step 2: Convert to fraction form
    1,268.97/1,904.31 = 447.26/x
  3. Step 3: Cross multiply
    1,268.97x = 1,904.31 × 447.26
  4. Step 4: Simplify right side
    1,268.97x = 851,712.17
  5. Step 5: Solve for x
    x = 851,712.17/1,268.97
  6. Step 6: Final answer
    x = 671.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.