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Finding the Fourth Proportional to 1,067.28, 1,601.08 and 336.62

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Solution

The fourth proportional to 1,067.28, 1,601.08 and 336.62 is: 504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.28 : 1,601.08 = 336.62 : x
  2. Step 2: Convert to fraction form
    1,067.28/1,601.08 = 336.62/x
  3. Step 3: Cross multiply
    1,067.28x = 1,601.08 × 336.62
  4. Step 4: Simplify right side
    1,067.28x = 538,955.55
  5. Step 5: Solve for x
    x = 538,955.55/1,067.28
  6. Step 6: Final answer
    x = 504.98

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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.