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Finding the Fourth Proportional to 1,099.98, 1,649.39 and 369.32

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Solution

The fourth proportional to 1,099.98, 1,649.39 and 369.32 is: 553.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.98 : 1,649.39 = 369.32 : x
  2. Step 2: Convert to fraction form
    1,099.98/1,649.39 = 369.32/x
  3. Step 3: Cross multiply
    1,099.98x = 1,649.39 × 369.32
  4. Step 4: Simplify right side
    1,099.98x = 609,142.62
  5. Step 5: Solve for x
    x = 609,142.62/1,099.98
  6. Step 6: Final answer
    x = 553.78

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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.