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Finding the Fourth Proportional to 662.24, 991.99 and 515.84

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Solution

The fourth proportional to 662.24, 991.99 and 515.84 is: 772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.24 : 991.99 = 515.84 : x
  2. Step 2: Convert to fraction form
    662.24/991.99 = 515.84/x
  3. Step 3: Cross multiply
    662.24x = 991.99 × 515.84
  4. Step 4: Simplify right side
    662.24x = 511,703.81
  5. Step 5: Solve for x
    x = 511,703.81/662.24
  6. Step 6: Final answer
    x = 772.68

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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.