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Finding the Fourth Proportional to 820.86, 1,230.06 and 409.43

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Solution

The fourth proportional to 820.86, 1,230.06 and 409.43 is: 613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.86 : 1,230.06 = 409.43 : x
  2. Step 2: Convert to fraction form
    820.86/1,230.06 = 409.43/x
  3. Step 3: Cross multiply
    820.86x = 1,230.06 × 409.43
  4. Step 4: Simplify right side
    820.86x = 503,623.47
  5. Step 5: Solve for x
    x = 503,623.47/820.86
  6. Step 6: Final answer
    x = 613.53

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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.