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Finding the Fourth Proportional to 796.58, 1,195.14 and 682.10

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Solution

The fourth proportional to 796.58, 1,195.14 and 682.10 is: 1,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.58 : 1,195.14 = 682.10 : x
  2. Step 2: Convert to fraction form
    796.58/1,195.14 = 682.10/x
  3. Step 3: Cross multiply
    796.58x = 1,195.14 × 682.10
  4. Step 4: Simplify right side
    796.58x = 815,204.99
  5. Step 5: Solve for x
    x = 815,204.99/796.58
  6. Step 6: Final answer
    x = 1,023.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.