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Finding the Fourth Proportional to 1,067.20, 1,600.56 and 374.30

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Solution

The fourth proportional to 1,067.20, 1,600.56 and 374.30 is: 561.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.20 : 1,600.56 = 374.30 : x
  2. Step 2: Convert to fraction form
    1,067.20/1,600.56 = 374.30/x
  3. Step 3: Cross multiply
    1,067.20x = 1,600.56 × 374.30
  4. Step 4: Simplify right side
    1,067.20x = 599,089.61
  5. Step 5: Solve for x
    x = 599,089.61/1,067.20
  6. Step 6: Final answer
    x = 561.37

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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.