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Finding the Fourth Proportional to 820.17, 1,230.47 and 243.03

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Solution

The fourth proportional to 820.17, 1,230.47 and 243.03 is: 364.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.17 : 1,230.47 = 243.03 : x
  2. Step 2: Convert to fraction form
    820.17/1,230.47 = 243.03/x
  3. Step 3: Cross multiply
    820.17x = 1,230.47 × 243.03
  4. Step 4: Simplify right side
    820.17x = 299,039.91
  5. Step 5: Solve for x
    x = 299,039.91/820.17
  6. Step 6: Final answer
    x = 364.61

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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.