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Finding the Fourth Proportional to 814.23, 1,221.78 and 540.45

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Solution

The fourth proportional to 814.23, 1,221.78 and 540.45 is: 810.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.23 : 1,221.78 = 540.45 : x
  2. Step 2: Convert to fraction form
    814.23/1,221.78 = 540.45/x
  3. Step 3: Cross multiply
    814.23x = 1,221.78 × 540.45
  4. Step 4: Simplify right side
    814.23x = 660,311.00
  5. Step 5: Solve for x
    x = 660,311.00/814.23
  6. Step 6: Final answer
    x = 810.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.