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Finding the Fourth Proportional to 1,238.38, 1,854.87 and 804.22

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Solution

The fourth proportional to 1,238.38, 1,854.87 and 804.22 is: 1,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.38 : 1,854.87 = 804.22 : x
  2. Step 2: Convert to fraction form
    1,238.38/1,854.87 = 804.22/x
  3. Step 3: Cross multiply
    1,238.38x = 1,854.87 × 804.22
  4. Step 4: Simplify right side
    1,238.38x = 1,491,723.55
  5. Step 5: Solve for x
    x = 1,491,723.55/1,238.38
  6. Step 6: Final answer
    x = 1,204.58

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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.