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Finding the Fourth Proportional to 1,099.38, 1,649.16 and 277.74

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Solution

The fourth proportional to 1,099.38, 1,649.16 and 277.74 is: 416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.38 : 1,649.16 = 277.74 : x
  2. Step 2: Convert to fraction form
    1,099.38/1,649.16 = 277.74/x
  3. Step 3: Cross multiply
    1,099.38x = 1,649.16 × 277.74
  4. Step 4: Simplify right side
    1,099.38x = 458,037.70
  5. Step 5: Solve for x
    x = 458,037.70/1,099.38
  6. Step 6: Final answer
    x = 416.63

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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.