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Finding the Fourth Proportional to 828.69, 1,241.94 and 341.16

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Solution

The fourth proportional to 828.69, 1,241.94 and 341.16 is: 511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.69 : 1,241.94 = 341.16 : x
  2. Step 2: Convert to fraction form
    828.69/1,241.94 = 341.16/x
  3. Step 3: Cross multiply
    828.69x = 1,241.94 × 341.16
  4. Step 4: Simplify right side
    828.69x = 423,700.25
  5. Step 5: Solve for x
    x = 423,700.25/828.69
  6. Step 6: Final answer
    x = 511.29

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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.