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Finding the Fourth Proportional to 814.80, 1,221.67 and 463.41

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Solution

The fourth proportional to 814.80, 1,221.67 and 463.41 is: 694.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.80 : 1,221.67 = 463.41 : x
  2. Step 2: Convert to fraction form
    814.80/1,221.67 = 463.41/x
  3. Step 3: Cross multiply
    814.80x = 1,221.67 × 463.41
  4. Step 4: Simplify right side
    814.80x = 566,134.36
  5. Step 5: Solve for x
    x = 566,134.36/814.80
  6. Step 6: Final answer
    x = 694.81

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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.