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Finding the Fourth Proportional to 1,078.39, 1,616.28 and 492.59

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Solution

The fourth proportional to 1,078.39, 1,616.28 and 492.59 is: 738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.39 : 1,616.28 = 492.59 : x
  2. Step 2: Convert to fraction form
    1,078.39/1,616.28 = 492.59/x
  3. Step 3: Cross multiply
    1,078.39x = 1,616.28 × 492.59
  4. Step 4: Simplify right side
    1,078.39x = 796,163.37
  5. Step 5: Solve for x
    x = 796,163.37/1,078.39
  6. Step 6: Final answer
    x = 738.29

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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.