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Finding the Fourth Proportional to 796.71, 1,193.99 and 589.62

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Solution

The fourth proportional to 796.71, 1,193.99 and 589.62 is: 883.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.71 : 1,193.99 = 589.62 : x
  2. Step 2: Convert to fraction form
    796.71/1,193.99 = 589.62/x
  3. Step 3: Cross multiply
    796.71x = 1,193.99 × 589.62
  4. Step 4: Simplify right side
    796.71x = 703,997.44
  5. Step 5: Solve for x
    x = 703,997.44/796.71
  6. Step 6: Final answer
    x = 883.63

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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.