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Finding the Fourth Proportional to 817.14, 1,226.30 and 509.44

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Solution

The fourth proportional to 817.14, 1,226.30 and 509.44 is: 764.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.14 : 1,226.30 = 509.44 : x
  2. Step 2: Convert to fraction form
    817.14/1,226.30 = 509.44/x
  3. Step 3: Cross multiply
    817.14x = 1,226.30 × 509.44
  4. Step 4: Simplify right side
    817.14x = 624,726.27
  5. Step 5: Solve for x
    x = 624,726.27/817.14
  6. Step 6: Final answer
    x = 764.53

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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.