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Finding the Fourth Proportional to 819.02, 1,226.64 and 493.67

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Solution

The fourth proportional to 819.02, 1,226.64 and 493.67 is: 739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.02 : 1,226.64 = 493.67 : x
  2. Step 2: Convert to fraction form
    819.02/1,226.64 = 493.67/x
  3. Step 3: Cross multiply
    819.02x = 1,226.64 × 493.67
  4. Step 4: Simplify right side
    819.02x = 605,555.37
  5. Step 5: Solve for x
    x = 605,555.37/819.02
  6. Step 6: Final answer
    x = 739.37

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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.