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Finding the Fourth Proportional to 796.91, 1,099.42 and 587.58

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Solution

The fourth proportional to 796.91, 1,099.42 and 587.58 is: 810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.91 : 1,099.42 = 587.58 : x
  2. Step 2: Convert to fraction form
    796.91/1,099.42 = 587.58/x
  3. Step 3: Cross multiply
    796.91x = 1,099.42 × 587.58
  4. Step 4: Simplify right side
    796.91x = 645,996.98
  5. Step 5: Solve for x
    x = 645,996.98/796.91
  6. Step 6: Final answer
    x = 810.63

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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.