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Finding the Fourth Proportional to 1,339.93, 2,009.68 and 819.75

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Solution

The fourth proportional to 1,339.93, 2,009.68 and 819.75 is: 1,229.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.93 : 2,009.68 = 819.75 : x
  2. Step 2: Convert to fraction form
    1,339.93/2,009.68 = 819.75/x
  3. Step 3: Cross multiply
    1,339.93x = 2,009.68 × 819.75
  4. Step 4: Simplify right side
    1,339.93x = 1,647,435.18
  5. Step 5: Solve for x
    x = 1,647,435.18/1,339.93
  6. Step 6: Final answer
    x = 1,229.49

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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.