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Finding the Fourth Proportional to 1,600.28, 2,399.39 and 675.58

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Solution

The fourth proportional to 1,600.28, 2,399.39 and 675.58 is: 1,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.28 : 2,399.39 = 675.58 : x
  2. Step 2: Convert to fraction form
    1,600.28/2,399.39 = 675.58/x
  3. Step 3: Cross multiply
    1,600.28x = 2,399.39 × 675.58
  4. Step 4: Simplify right side
    1,600.28x = 1,620,979.90
  5. Step 5: Solve for x
    x = 1,620,979.90/1,600.28
  6. Step 6: Final answer
    x = 1,012.94

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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.