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Finding the Fourth Proportional to 828.17, 1,242.23 and 211.87

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Solution

The fourth proportional to 828.17, 1,242.23 and 211.87 is: 317.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.17 : 1,242.23 = 211.87 : x
  2. Step 2: Convert to fraction form
    828.17/1,242.23 = 211.87/x
  3. Step 3: Cross multiply
    828.17x = 1,242.23 × 211.87
  4. Step 4: Simplify right side
    828.17x = 263,185.06
  5. Step 5: Solve for x
    x = 263,185.06/828.17
  6. Step 6: Final answer
    x = 317.79

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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.