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Finding the Fourth Proportional to 820.54, 1,230.17 and 409.47

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Solution

The fourth proportional to 820.54, 1,230.17 and 409.47 is: 613.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.54 : 1,230.17 = 409.47 : x
  2. Step 2: Convert to fraction form
    820.54/1,230.17 = 409.47/x
  3. Step 3: Cross multiply
    820.54x = 1,230.17 × 409.47
  4. Step 4: Simplify right side
    820.54x = 503,717.71
  5. Step 5: Solve for x
    x = 503,717.71/820.54
  6. Step 6: Final answer
    x = 613.89

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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.