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Finding the Fourth Proportional to 1,099.41, 1,645.56 and 840.39

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Solution

The fourth proportional to 1,099.41, 1,645.56 and 840.39 is: 1,257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.41 : 1,645.56 = 840.39 : x
  2. Step 2: Convert to fraction form
    1,099.41/1,645.56 = 840.39/x
  3. Step 3: Cross multiply
    1,099.41x = 1,645.56 × 840.39
  4. Step 4: Simplify right side
    1,099.41x = 1,382,912.17
  5. Step 5: Solve for x
    x = 1,382,912.17/1,099.41
  6. Step 6: Final answer
    x = 1,257.87

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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.