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Finding the Fourth Proportional to 1,245.91, 1,868.73 and 321.43

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Solution

The fourth proportional to 1,245.91, 1,868.73 and 321.43 is: 482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.91 : 1,868.73 = 321.43 : x
  2. Step 2: Convert to fraction form
    1,245.91/1,868.73 = 321.43/x
  3. Step 3: Cross multiply
    1,245.91x = 1,868.73 × 321.43
  4. Step 4: Simplify right side
    1,245.91x = 600,665.88
  5. Step 5: Solve for x
    x = 600,665.88/1,245.91
  6. Step 6: Final answer
    x = 482.11

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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.