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Finding the Fourth Proportional to 828.65, 1,242.97 and 394.49

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Solution

The fourth proportional to 828.65, 1,242.97 and 394.49 is: 591.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.65 : 1,242.97 = 394.49 : x
  2. Step 2: Convert to fraction form
    828.65/1,242.97 = 394.49/x
  3. Step 3: Cross multiply
    828.65x = 1,242.97 × 394.49
  4. Step 4: Simplify right side
    828.65x = 490,333.02
  5. Step 5: Solve for x
    x = 490,333.02/828.65
  6. Step 6: Final answer
    x = 591.73

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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.