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Finding the Fourth Proportional to 828.41, 1,241.19 and 584.42

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Solution

The fourth proportional to 828.41, 1,241.19 and 584.42 is: 875.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.41 : 1,241.19 = 584.42 : x
  2. Step 2: Convert to fraction form
    828.41/1,241.19 = 584.42/x
  3. Step 3: Cross multiply
    828.41x = 1,241.19 × 584.42
  4. Step 4: Simplify right side
    828.41x = 725,376.26
  5. Step 5: Solve for x
    x = 725,376.26/828.41
  6. Step 6: Final answer
    x = 875.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.