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Finding the Fourth Proportional to 1,067.24, 1,599.82 and 336.64

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Solution

The fourth proportional to 1,067.24, 1,599.82 and 336.64 is: 504.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.24 : 1,599.82 = 336.64 : x
  2. Step 2: Convert to fraction form
    1,067.24/1,599.82 = 336.64/x
  3. Step 3: Cross multiply
    1,067.24x = 1,599.82 × 336.64
  4. Step 4: Simplify right side
    1,067.24x = 538,563.40
  5. Step 5: Solve for x
    x = 538,563.40/1,067.24
  6. Step 6: Final answer
    x = 504.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.