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Finding the Fourth Proportional to 1,099.14, 1,641.32 and 1,086.99

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Solution

The fourth proportional to 1,099.14, 1,641.32 and 1,086.99 is: 1,623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.14 : 1,641.32 = 1,086.99 : x
  2. Step 2: Convert to fraction form
    1,099.14/1,641.32 = 1,086.99/x
  3. Step 3: Cross multiply
    1,099.14x = 1,641.32 × 1,086.99
  4. Step 4: Simplify right side
    1,099.14x = 1,784,092.99
  5. Step 5: Solve for x
    x = 1,784,092.99/1,099.14
  6. Step 6: Final answer
    x = 1,623.17

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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.