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Finding the Fourth Proportional to 1,099.82, 1,650.48 and 450.40

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Solution

The fourth proportional to 1,099.82, 1,650.48 and 450.40 is: 675.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.82 : 1,650.48 = 450.40 : x
  2. Step 2: Convert to fraction form
    1,099.82/1,650.48 = 450.40/x
  3. Step 3: Cross multiply
    1,099.82x = 1,650.48 × 450.40
  4. Step 4: Simplify right side
    1,099.82x = 743,376.19
  5. Step 5: Solve for x
    x = 743,376.19/1,099.82
  6. Step 6: Final answer
    x = 675.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.