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Finding the Fourth Proportional to 1,099.67, 1,649.37 and 483.26

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Solution

The fourth proportional to 1,099.67, 1,649.37 and 483.26 is: 724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.67 : 1,649.37 = 483.26 : x
  2. Step 2: Convert to fraction form
    1,099.67/1,649.37 = 483.26/x
  3. Step 3: Cross multiply
    1,099.67x = 1,649.37 × 483.26
  4. Step 4: Simplify right side
    1,099.67x = 797,074.55
  5. Step 5: Solve for x
    x = 797,074.55/1,099.67
  6. Step 6: Final answer
    x = 724.83

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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.