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Finding the Fourth Proportional to 1,099.44, 1,649.01 and 277.66

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Solution

The fourth proportional to 1,099.44, 1,649.01 and 277.66 is: 416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.44 : 1,649.01 = 277.66 : x
  2. Step 2: Convert to fraction form
    1,099.44/1,649.01 = 277.66/x
  3. Step 3: Cross multiply
    1,099.44x = 1,649.01 × 277.66
  4. Step 4: Simplify right side
    1,099.44x = 457,865.14
  5. Step 5: Solve for x
    x = 457,865.14/1,099.44
  6. Step 6: Final answer
    x = 416.45

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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.