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Finding the Fourth Proportional to 820.41, 1,230.62 and 495.09

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Solution

The fourth proportional to 820.41, 1,230.62 and 495.09 is: 742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.41 : 1,230.62 = 495.09 : x
  2. Step 2: Convert to fraction form
    820.41/1,230.62 = 495.09/x
  3. Step 3: Cross multiply
    820.41x = 1,230.62 × 495.09
  4. Step 4: Simplify right side
    820.41x = 609,265.18
  5. Step 5: Solve for x
    x = 609,265.18/820.41
  6. Step 6: Final answer
    x = 742.64

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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.