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Finding the Fourth Proportional to 814.41, 1,221.08 and 525.69

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Solution

The fourth proportional to 814.41, 1,221.08 and 525.69 is: 788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.41 : 1,221.08 = 525.69 : x
  2. Step 2: Convert to fraction form
    814.41/1,221.08 = 525.69/x
  3. Step 3: Cross multiply
    814.41x = 1,221.08 × 525.69
  4. Step 4: Simplify right side
    814.41x = 641,906.92
  5. Step 5: Solve for x
    x = 641,906.92/814.41
  6. Step 6: Final answer
    x = 788.19

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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.