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Finding the Fourth Proportional to 1,268.73, 1,751.14 and 825.86

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Solution

The fourth proportional to 1,268.73, 1,751.14 and 825.86 is: 1,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.73 : 1,751.14 = 825.86 : x
  2. Step 2: Convert to fraction form
    1,268.73/1,751.14 = 825.86/x
  3. Step 3: Cross multiply
    1,268.73x = 1,751.14 × 825.86
  4. Step 4: Simplify right side
    1,268.73x = 1,446,196.48
  5. Step 5: Solve for x
    x = 1,446,196.48/1,268.73
  6. Step 6: Final answer
    x = 1,139.88

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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.