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Finding the Fourth Proportional to 1,086.75, 1,618.91 and 1,019.52

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Solution

The fourth proportional to 1,086.75, 1,618.91 and 1,019.52 is: 1,518.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.75 : 1,618.91 = 1,019.52 : x
  2. Step 2: Convert to fraction form
    1,086.75/1,618.91 = 1,019.52/x
  3. Step 3: Cross multiply
    1,086.75x = 1,618.91 × 1,019.52
  4. Step 4: Simplify right side
    1,086.75x = 1,650,511.12
  5. Step 5: Solve for x
    x = 1,650,511.12/1,086.75
  6. Step 6: Final answer
    x = 1,518.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.