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Finding the Fourth Proportional to 813.30, 1,217.82 and 682.99

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Solution

The fourth proportional to 813.30, 1,217.82 and 682.99 is: 1,022.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.30 : 1,217.82 = 682.99 : x
  2. Step 2: Convert to fraction form
    813.30/1,217.82 = 682.99/x
  3. Step 3: Cross multiply
    813.30x = 1,217.82 × 682.99
  4. Step 4: Simplify right side
    813.30x = 831,758.88
  5. Step 5: Solve for x
    x = 831,758.88/813.30
  6. Step 6: Final answer
    x = 1,022.70

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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.