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Finding the Fourth Proportional to 818.76, 1,226.92 and 493.76

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Solution

The fourth proportional to 818.76, 1,226.92 and 493.76 is: 739.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.76 : 1,226.92 = 493.76 : x
  2. Step 2: Convert to fraction form
    818.76/1,226.92 = 493.76/x
  3. Step 3: Cross multiply
    818.76x = 1,226.92 × 493.76
  4. Step 4: Simplify right side
    818.76x = 605,804.02
  5. Step 5: Solve for x
    x = 605,804.02/818.76
  6. Step 6: Final answer
    x = 739.90

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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.