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Finding the Fourth Proportional to 1,099.99, 1,651.07 and 1,010.89

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Solution

The fourth proportional to 1,099.99, 1,651.07 and 1,010.89 is: 1,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.99 : 1,651.07 = 1,010.89 : x
  2. Step 2: Convert to fraction form
    1,099.99/1,651.07 = 1,010.89/x
  3. Step 3: Cross multiply
    1,099.99x = 1,651.07 × 1,010.89
  4. Step 4: Simplify right side
    1,099.99x = 1,669,050.15
  5. Step 5: Solve for x
    x = 1,669,050.15/1,099.99
  6. Step 6: Final answer
    x = 1,517.33

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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.