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Finding the Fourth Proportional to 818.91, 1,227.15 and 493.29

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Solution

The fourth proportional to 818.91, 1,227.15 and 493.29 is: 739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.91 : 1,227.15 = 493.29 : x
  2. Step 2: Convert to fraction form
    818.91/1,227.15 = 493.29/x
  3. Step 3: Cross multiply
    818.91x = 1,227.15 × 493.29
  4. Step 4: Simplify right side
    818.91x = 605,340.82
  5. Step 5: Solve for x
    x = 605,340.82/818.91
  6. Step 6: Final answer
    x = 739.20

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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.