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Finding the Fourth Proportional to 1,099.57, 1,649.78 and 808.53

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Solution

The fourth proportional to 1,099.57, 1,649.78 and 808.53 is: 1,213.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.57 : 1,649.78 = 808.53 : x
  2. Step 2: Convert to fraction form
    1,099.57/1,649.78 = 808.53/x
  3. Step 3: Cross multiply
    1,099.57x = 1,649.78 × 808.53
  4. Step 4: Simplify right side
    1,099.57x = 1,333,896.62
  5. Step 5: Solve for x
    x = 1,333,896.62/1,099.57
  6. Step 6: Final answer
    x = 1,213.11

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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.