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Finding the Fourth Proportional to 1,067.12, 1,600.68 and 297.62

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Solution

The fourth proportional to 1,067.12, 1,600.68 and 297.62 is: 446.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.12 : 1,600.68 = 297.62 : x
  2. Step 2: Convert to fraction form
    1,067.12/1,600.68 = 297.62/x
  3. Step 3: Cross multiply
    1,067.12x = 1,600.68 × 297.62
  4. Step 4: Simplify right side
    1,067.12x = 476,394.38
  5. Step 5: Solve for x
    x = 476,394.38/1,067.12
  6. Step 6: Final answer
    x = 446.43

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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.