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Finding the Fourth Proportional to 828.41, 1,242.59 and 212.09

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Solution

The fourth proportional to 828.41, 1,242.59 and 212.09 is: 318.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.41 : 1,242.59 = 212.09 : x
  2. Step 2: Convert to fraction form
    828.41/1,242.59 = 212.09/x
  3. Step 3: Cross multiply
    828.41x = 1,242.59 × 212.09
  4. Step 4: Simplify right side
    828.41x = 263,533.64
  5. Step 5: Solve for x
    x = 263,533.64/828.41
  6. Step 6: Final answer
    x = 318.12

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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.