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Finding the Fourth Proportional to 1,067.10, 1,600.17 and 336.52

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Solution

The fourth proportional to 1,067.10, 1,600.17 and 336.52 is: 504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.10 : 1,600.17 = 336.52 : x
  2. Step 2: Convert to fraction form
    1,067.10/1,600.17 = 336.52/x
  3. Step 3: Cross multiply
    1,067.10x = 1,600.17 × 336.52
  4. Step 4: Simplify right side
    1,067.10x = 538,489.21
  5. Step 5: Solve for x
    x = 538,489.21/1,067.10
  6. Step 6: Final answer
    x = 504.63

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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.