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Finding the Fourth Proportional to 1,099.88, 1,649.81 and 442.05

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Solution

The fourth proportional to 1,099.88, 1,649.81 and 442.05 is: 663.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.88 : 1,649.81 = 442.05 : x
  2. Step 2: Convert to fraction form
    1,099.88/1,649.81 = 442.05/x
  3. Step 3: Cross multiply
    1,099.88x = 1,649.81 × 442.05
  4. Step 4: Simplify right side
    1,099.88x = 729,288.05
  5. Step 5: Solve for x
    x = 729,288.05/1,099.88
  6. Step 6: Final answer
    x = 663.06

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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.