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Finding the Fourth Proportional to 1,201.08, 1,800.97 and 379.14

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Solution

The fourth proportional to 1,201.08, 1,800.97 and 379.14 is: 568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.08 : 1,800.97 = 379.14 : x
  2. Step 2: Convert to fraction form
    1,201.08/1,800.97 = 379.14/x
  3. Step 3: Cross multiply
    1,201.08x = 1,800.97 × 379.14
  4. Step 4: Simplify right side
    1,201.08x = 682,819.77
  5. Step 5: Solve for x
    x = 682,819.77/1,201.08
  6. Step 6: Final answer
    x = 568.50

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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.