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Finding the Fourth Proportional to 1,268.84, 1,747.50 and 1,178.12

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Solution

The fourth proportional to 1,268.84, 1,747.50 and 1,178.12 is: 1,622.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268.84 : 1,747.50 = 1,178.12 : x
  2. Step 2: Convert to fraction form
    1,268.84/1,747.50 = 1,178.12/x
  3. Step 3: Cross multiply
    1,268.84x = 1,747.50 × 1,178.12
  4. Step 4: Simplify right side
    1,268.84x = 2,058,764.70
  5. Step 5: Solve for x
    x = 2,058,764.70/1,268.84
  6. Step 6: Final answer
    x = 1,622.56

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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.