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Finding the Fourth Proportional to 1,099.41, 1,649.11 and 277.75

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Solution

The fourth proportional to 1,099.41, 1,649.11 and 277.75 is: 416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.41 : 1,649.11 = 277.75 : x
  2. Step 2: Convert to fraction form
    1,099.41/1,649.11 = 277.75/x
  3. Step 3: Cross multiply
    1,099.41x = 1,649.11 × 277.75
  4. Step 4: Simplify right side
    1,099.41x = 458,036.87
  5. Step 5: Solve for x
    x = 458,036.87/1,099.41
  6. Step 6: Final answer
    x = 416.62

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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.