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Finding the Fourth Proportional to 766.99, 1,057.82 and 667.23

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Solution

The fourth proportional to 766.99, 1,057.82 and 667.23 is: 920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.99 : 1,057.82 = 667.23 : x
  2. Step 2: Convert to fraction form
    766.99/1,057.82 = 667.23/x
  3. Step 3: Cross multiply
    766.99x = 1,057.82 × 667.23
  4. Step 4: Simplify right side
    766.99x = 705,809.24
  5. Step 5: Solve for x
    x = 705,809.24/766.99
  6. Step 6: Final answer
    x = 920.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.