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Finding the Fourth Proportional to 1,178.41, 1,763.82 and 1,067.64

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Solution

The fourth proportional to 1,178.41, 1,763.82 and 1,067.64 is: 1,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.41 : 1,763.82 = 1,067.64 : x
  2. Step 2: Convert to fraction form
    1,178.41/1,763.82 = 1,067.64/x
  3. Step 3: Cross multiply
    1,178.41x = 1,763.82 × 1,067.64
  4. Step 4: Simplify right side
    1,178.41x = 1,883,124.78
  5. Step 5: Solve for x
    x = 1,883,124.78/1,178.41
  6. Step 6: Final answer
    x = 1,598.02

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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.