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Finding the Fourth Proportional to 1,268.88, 1,751.90 and 849.77

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Solution

The fourth proportional to 1,268.88, 1,751.90 and 849.77 is: 1,173.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.88 : 1,751.90 = 849.77 : x
  2. Step 2: Convert to fraction form
    1,268.88/1,751.90 = 849.77/x
  3. Step 3: Cross multiply
    1,268.88x = 1,751.90 × 849.77
  4. Step 4: Simplify right side
    1,268.88x = 1,488,712.06
  5. Step 5: Solve for x
    x = 1,488,712.06/1,268.88
  6. Step 6: Final answer
    x = 1,173.25

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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.