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Finding the Fourth Proportional to 1,216.79, 1,824.10 and 447.11

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Solution

The fourth proportional to 1,216.79, 1,824.10 and 447.11 is: 670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.79 : 1,824.10 = 447.11 : x
  2. Step 2: Convert to fraction form
    1,216.79/1,824.10 = 447.11/x
  3. Step 3: Cross multiply
    1,216.79x = 1,824.10 × 447.11
  4. Step 4: Simplify right side
    1,216.79x = 815,573.35
  5. Step 5: Solve for x
    x = 815,573.35/1,216.79
  6. Step 6: Final answer
    x = 670.27

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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.