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Finding the Fourth Proportional to 1,099.98, 1,650.59 and 450.57

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Solution

The fourth proportional to 1,099.98, 1,650.59 and 450.57 is: 676.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.98 : 1,650.59 = 450.57 : x
  2. Step 2: Convert to fraction form
    1,099.98/1,650.59 = 450.57/x
  3. Step 3: Cross multiply
    1,099.98x = 1,650.59 × 450.57
  4. Step 4: Simplify right side
    1,099.98x = 743,704.08
  5. Step 5: Solve for x
    x = 743,704.08/1,099.98
  6. Step 6: Final answer
    x = 676.11

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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.