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Finding the Fourth Proportional to 828.18, 1,242.72 and 584.22

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Solution

The fourth proportional to 828.18, 1,242.72 and 584.22 is: 876.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.18 : 1,242.72 = 584.22 : x
  2. Step 2: Convert to fraction form
    828.18/1,242.72 = 584.22/x
  3. Step 3: Cross multiply
    828.18x = 1,242.72 × 584.22
  4. Step 4: Simplify right side
    828.18x = 726,021.88
  5. Step 5: Solve for x
    x = 726,021.88/828.18
  6. Step 6: Final answer
    x = 876.65

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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.