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Finding the Fourth Proportional to 1,099.57, 1,517.41 and 633.82

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Solution

The fourth proportional to 1,099.57, 1,517.41 and 633.82 is: 874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.57 : 1,517.41 = 633.82 : x
  2. Step 2: Convert to fraction form
    1,099.57/1,517.41 = 633.82/x
  3. Step 3: Cross multiply
    1,099.57x = 1,517.41 × 633.82
  4. Step 4: Simplify right side
    1,099.57x = 961,757.22
  5. Step 5: Solve for x
    x = 961,757.22/1,099.57
  6. Step 6: Final answer
    x = 874.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.