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Finding the Fourth Proportional to 1,099.55, 1,649.32 and 277.83

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Solution

The fourth proportional to 1,099.55, 1,649.32 and 277.83 is: 416.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.55 : 1,649.32 = 277.83 : x
  2. Step 2: Convert to fraction form
    1,099.55/1,649.32 = 277.83/x
  3. Step 3: Cross multiply
    1,099.55x = 1,649.32 × 277.83
  4. Step 4: Simplify right side
    1,099.55x = 458,222.33
  5. Step 5: Solve for x
    x = 458,222.33/1,099.55
  6. Step 6: Final answer
    x = 416.74

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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.