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Finding the Fourth Proportional to 1,099.56, 1,649.62 and 330.04

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Solution

The fourth proportional to 1,099.56, 1,649.62 and 330.04 is: 495.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.56 : 1,649.62 = 330.04 : x
  2. Step 2: Convert to fraction form
    1,099.56/1,649.62 = 330.04/x
  3. Step 3: Cross multiply
    1,099.56x = 1,649.62 × 330.04
  4. Step 4: Simplify right side
    1,099.56x = 544,440.58
  5. Step 5: Solve for x
    x = 544,440.58/1,099.56
  6. Step 6: Final answer
    x = 495.14

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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.