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Finding the Fourth Proportional to 1,099.33, 1,649 and 277.63

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Solution

The fourth proportional to 1,099.33, 1,649 and 277.63 is: 416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.33 : 1,649 = 277.63 : x
  2. Step 2: Convert to fraction form
    1,099.33/1,649 = 277.63/x
  3. Step 3: Cross multiply
    1,099.33x = 1,649 × 277.63
  4. Step 4: Simplify right side
    1,099.33x = 457,811.87
  5. Step 5: Solve for x
    x = 457,811.87/1,099.33
  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.