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Finding the Fourth Proportional to 1,099.81, 1,649.56 and 369.39

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Solution

The fourth proportional to 1,099.81, 1,649.56 and 369.39 is: 554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.81 : 1,649.56 = 369.39 : x
  2. Step 2: Convert to fraction form
    1,099.81/1,649.56 = 369.39/x
  3. Step 3: Cross multiply
    1,099.81x = 1,649.56 × 369.39
  4. Step 4: Simplify right side
    1,099.81x = 609,330.97
  5. Step 5: Solve for x
    x = 609,330.97/1,099.81
  6. Step 6: Final answer
    x = 554.03

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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.