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Finding the Fourth Proportional to 1,099.52, 1,649.20 and 415.04

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Solution

The fourth proportional to 1,099.52, 1,649.20 and 415.04 is: 622.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.52 : 1,649.20 = 415.04 : x
  2. Step 2: Convert to fraction form
    1,099.52/1,649.20 = 415.04/x
  3. Step 3: Cross multiply
    1,099.52x = 1,649.20 × 415.04
  4. Step 4: Simplify right side
    1,099.52x = 684,483.97
  5. Step 5: Solve for x
    x = 684,483.97/1,099.52
  6. Step 6: Final answer
    x = 622.53

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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.