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Finding the Fourth Proportional to 818.31, 1,226.86 and 493.61

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Solution

The fourth proportional to 818.31, 1,226.86 and 493.61 is: 740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.31 : 1,226.86 = 493.61 : x
  2. Step 2: Convert to fraction form
    818.31/1,226.86 = 493.61/x
  3. Step 3: Cross multiply
    818.31x = 1,226.86 × 493.61
  4. Step 4: Simplify right side
    818.31x = 605,583.00
  5. Step 5: Solve for x
    x = 605,583.00/818.31
  6. Step 6: Final answer
    x = 740.04

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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.