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Finding the Fourth Proportional to 1,099.60, 1,649.16 and 450.80

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Solution

The fourth proportional to 1,099.60, 1,649.16 and 450.80 is: 676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.60 : 1,649.16 = 450.80 : x
  2. Step 2: Convert to fraction form
    1,099.60/1,649.16 = 450.80/x
  3. Step 3: Cross multiply
    1,099.60x = 1,649.16 × 450.80
  4. Step 4: Simplify right side
    1,099.60x = 743,441.33
  5. Step 5: Solve for x
    x = 743,441.33/1,099.60
  6. Step 6: Final answer
    x = 676.10

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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.