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Finding the Fourth Proportional to 1,099.54, 1,649.39 and 369.11

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Solution

The fourth proportional to 1,099.54, 1,649.39 and 369.11 is: 553.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.54 : 1,649.39 = 369.11 : x
  2. Step 2: Convert to fraction form
    1,099.54/1,649.39 = 369.11/x
  3. Step 3: Cross multiply
    1,099.54x = 1,649.39 × 369.11
  4. Step 4: Simplify right side
    1,099.54x = 608,806.34
  5. Step 5: Solve for x
    x = 608,806.34/1,099.54
  6. Step 6: Final answer
    x = 553.69

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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.