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Finding the Fourth Proportional to 1,004.19, 1,504.25 and 819.75

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Solution

The fourth proportional to 1,004.19, 1,504.25 and 819.75 is: 1,227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.19 : 1,504.25 = 819.75 : x
  2. Step 2: Convert to fraction form
    1,004.19/1,504.25 = 819.75/x
  3. Step 3: Cross multiply
    1,004.19x = 1,504.25 × 819.75
  4. Step 4: Simplify right side
    1,004.19x = 1,233,104.84
  5. Step 5: Solve for x
    x = 1,233,104.84/1,004.19
  6. Step 6: Final answer
    x = 1,227.96

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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.