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Finding the Fourth Proportional to 1,238.38, 1,854.48 and 622.37

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Solution

The fourth proportional to 1,238.38, 1,854.48 and 622.37 is: 932.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.38 : 1,854.48 = 622.37 : x
  2. Step 2: Convert to fraction form
    1,238.38/1,854.48 = 622.37/x
  3. Step 3: Cross multiply
    1,238.38x = 1,854.48 × 622.37
  4. Step 4: Simplify right side
    1,238.38x = 1,154,179.69
  5. Step 5: Solve for x
    x = 1,154,179.69/1,238.38
  6. Step 6: Final answer
    x = 932.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.