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Finding the Fourth Proportional to 858.97, 1,289.67 and 819.82

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Solution

The fourth proportional to 858.97, 1,289.67 and 819.82 is: 1,230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.97 : 1,289.67 = 819.82 : x
  2. Step 2: Convert to fraction form
    858.97/1,289.67 = 819.82/x
  3. Step 3: Cross multiply
    858.97x = 1,289.67 × 819.82
  4. Step 4: Simplify right side
    858.97x = 1,057,297.26
  5. Step 5: Solve for x
    x = 1,057,297.26/858.97
  6. Step 6: Final answer
    x = 1,230.89

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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.