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Finding the Fourth Proportional to 1,099.02, 1,524.42 and 1,059.63

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Solution

The fourth proportional to 1,099.02, 1,524.42 and 1,059.63 is: 1,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.02 : 1,524.42 = 1,059.63 : x
  2. Step 2: Convert to fraction form
    1,099.02/1,524.42 = 1,059.63/x
  3. Step 3: Cross multiply
    1,099.02x = 1,524.42 × 1,059.63
  4. Step 4: Simplify right side
    1,099.02x = 1,615,321.16
  5. Step 5: Solve for x
    x = 1,615,321.16/1,099.02
  6. Step 6: Final answer
    x = 1,469.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.