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Finding the Fourth Proportional to 1,404.07, 2,105.41 and 819.28

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Solution

The fourth proportional to 1,404.07, 2,105.41 and 819.28 is: 1,228.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.07 : 2,105.41 = 819.28 : x
  2. Step 2: Convert to fraction form
    1,404.07/2,105.41 = 819.28/x
  3. Step 3: Cross multiply
    1,404.07x = 2,105.41 × 819.28
  4. Step 4: Simplify right side
    1,404.07x = 1,724,920.30
  5. Step 5: Solve for x
    x = 1,724,920.30/1,404.07
  6. Step 6: Final answer
    x = 1,228.51

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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.