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Finding the Fourth Proportional to 1,099.60, 1,649.69 and 483.44

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Solution

The fourth proportional to 1,099.60, 1,649.69 and 483.44 is: 725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.60 : 1,649.69 = 483.44 : x
  2. Step 2: Convert to fraction form
    1,099.60/1,649.69 = 483.44/x
  3. Step 3: Cross multiply
    1,099.60x = 1,649.69 × 483.44
  4. Step 4: Simplify right side
    1,099.60x = 797,523.72
  5. Step 5: Solve for x
    x = 797,523.72/1,099.60
  6. Step 6: Final answer
    x = 725.29

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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.