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Finding the Fourth Proportional to 1,099.53, 1,649.03 and 450.72

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Solution

The fourth proportional to 1,099.53, 1,649.03 and 450.72 is: 675.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.53 : 1,649.03 = 450.72 : x
  2. Step 2: Convert to fraction form
    1,099.53/1,649.03 = 450.72/x
  3. Step 3: Cross multiply
    1,099.53x = 1,649.03 × 450.72
  4. Step 4: Simplify right side
    1,099.53x = 743,248.55
  5. Step 5: Solve for x
    x = 743,248.55/1,099.53
  6. Step 6: Final answer
    x = 675.97

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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.