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Finding the Fourth Proportional to 814.35, 1,218.80 and 677.67

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Solution

The fourth proportional to 814.35, 1,218.80 and 677.67 is: 1,014.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.35 : 1,218.80 = 677.67 : x
  2. Step 2: Convert to fraction form
    814.35/1,218.80 = 677.67/x
  3. Step 3: Cross multiply
    814.35x = 1,218.80 × 677.67
  4. Step 4: Simplify right side
    814.35x = 825,940.81
  5. Step 5: Solve for x
    x = 825,940.81/814.35
  6. Step 6: Final answer
    x = 1,014.23

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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.