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Finding the Fourth Proportional to 1,099.68, 1,649.53 and 369.27

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Solution

The fourth proportional to 1,099.68, 1,649.53 and 369.27 is: 553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.68 : 1,649.53 = 369.27 : x
  2. Step 2: Convert to fraction form
    1,099.68/1,649.53 = 369.27/x
  3. Step 3: Cross multiply
    1,099.68x = 1,649.53 × 369.27
  4. Step 4: Simplify right side
    1,099.68x = 609,121.94
  5. Step 5: Solve for x
    x = 609,121.94/1,099.68
  6. Step 6: Final answer
    x = 553.91

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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.