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Finding the Fourth Proportional to 814.60, 1,224.30 and 800.20

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Solution

The fourth proportional to 814.60, 1,224.30 and 800.20 is: 1,202.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.60 : 1,224.30 = 800.20 : x
  2. Step 2: Convert to fraction form
    814.60/1,224.30 = 800.20/x
  3. Step 3: Cross multiply
    814.60x = 1,224.30 × 800.20
  4. Step 4: Simplify right side
    814.60x = 979,684.86
  5. Step 5: Solve for x
    x = 979,684.86/814.60
  6. Step 6: Final answer
    x = 1,202.66

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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.