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Finding the Fourth Proportional to 1,216.89, 1,821.42 and 667.71

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Solution

The fourth proportional to 1,216.89, 1,821.42 and 667.71 is: 999.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.89 : 1,821.42 = 667.71 : x
  2. Step 2: Convert to fraction form
    1,216.89/1,821.42 = 667.71/x
  3. Step 3: Cross multiply
    1,216.89x = 1,821.42 × 667.71
  4. Step 4: Simplify right side
    1,216.89x = 1,216,180.35
  5. Step 5: Solve for x
    x = 1,216,180.35/1,216.89
  6. Step 6: Final answer
    x = 999.42

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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.