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Finding the Fourth Proportional to 1,067.12, 1,600.68 and 418.04

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Solution

The fourth proportional to 1,067.12, 1,600.68 and 418.04 is: 627.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.12 : 1,600.68 = 418.04 : x
  2. Step 2: Convert to fraction form
    1,067.12/1,600.68 = 418.04/x
  3. Step 3: Cross multiply
    1,067.12x = 1,600.68 × 418.04
  4. Step 4: Simplify right side
    1,067.12x = 669,148.27
  5. Step 5: Solve for x
    x = 669,148.27/1,067.12
  6. Step 6: Final answer
    x = 627.06

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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.