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Finding the Fourth Proportional to 1,214.19, 1,819.22 and 804.11

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Solution

The fourth proportional to 1,214.19, 1,819.22 and 804.11 is: 1,204.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.19 : 1,819.22 = 804.11 : x
  2. Step 2: Convert to fraction form
    1,214.19/1,819.22 = 804.11/x
  3. Step 3: Cross multiply
    1,214.19x = 1,819.22 × 804.11
  4. Step 4: Simplify right side
    1,214.19x = 1,462,839.88
  5. Step 5: Solve for x
    x = 1,462,839.88/1,214.19
  6. Step 6: Final answer
    x = 1,204.79

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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.