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Finding the Fourth Proportional to 1,099.63, 1,651.34 and 1,091.13

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Solution

The fourth proportional to 1,099.63, 1,651.34 and 1,091.13 is: 1,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.63 : 1,651.34 = 1,091.13 : x
  2. Step 2: Convert to fraction form
    1,099.63/1,651.34 = 1,091.13/x
  3. Step 3: Cross multiply
    1,099.63x = 1,651.34 × 1,091.13
  4. Step 4: Simplify right side
    1,099.63x = 1,801,826.61
  5. Step 5: Solve for x
    x = 1,801,826.61/1,099.63
  6. Step 6: Final answer
    x = 1,638.58

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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.