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Finding the Fourth Proportional to 1,067, 1,600.56 and 297.56

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Solution

The fourth proportional to 1,067, 1,600.56 and 297.56 is: 446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067 : 1,600.56 = 297.56 : x
  2. Step 2: Convert to fraction form
    1,067/1,600.56 = 297.56/x
  3. Step 3: Cross multiply
    1,067x = 1,600.56 × 297.56
  4. Step 4: Simplify right side
    1,067x = 476,262.63
  5. Step 5: Solve for x
    x = 476,262.63/1,067
  6. Step 6: Final answer
    x = 446.36

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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.