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Finding the Fourth Proportional to 828.54, 1,242.54 and 519.24

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Solution

The fourth proportional to 828.54, 1,242.54 and 519.24 is: 778.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.54 : 1,242.54 = 519.24 : x
  2. Step 2: Convert to fraction form
    828.54/1,242.54 = 519.24/x
  3. Step 3: Cross multiply
    828.54x = 1,242.54 × 519.24
  4. Step 4: Simplify right side
    828.54x = 645,176.47
  5. Step 5: Solve for x
    x = 645,176.47/828.54
  6. Step 6: Final answer
    x = 778.69

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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.