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Finding the Fourth Proportional to 1,099.48, 1,649.22 and 277.75

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Solution

The fourth proportional to 1,099.48, 1,649.22 and 277.75 is: 416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.48 : 1,649.22 = 277.75 : x
  2. Step 2: Convert to fraction form
    1,099.48/1,649.22 = 277.75/x
  3. Step 3: Cross multiply
    1,099.48x = 1,649.22 × 277.75
  4. Step 4: Simplify right side
    1,099.48x = 458,070.86
  5. Step 5: Solve for x
    x = 458,070.86/1,099.48
  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.