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Finding the Fourth Proportional to 1,099.69, 1,649.87 and 450.47

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Solution

The fourth proportional to 1,099.69, 1,649.87 and 450.47 is: 675.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.69 : 1,649.87 = 450.47 : x
  2. Step 2: Convert to fraction form
    1,099.69/1,649.87 = 450.47/x
  3. Step 3: Cross multiply
    1,099.69x = 1,649.87 × 450.47
  4. Step 4: Simplify right side
    1,099.69x = 743,214.69
  5. Step 5: Solve for x
    x = 743,214.69/1,099.69
  6. Step 6: Final answer
    x = 675.84

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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.