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Finding the Fourth Proportional to 813.81, 1,213.86 and 682.29

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Solution

The fourth proportional to 813.81, 1,213.86 and 682.29 is: 1,017.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.81 : 1,213.86 = 682.29 : x
  2. Step 2: Convert to fraction form
    813.81/1,213.86 = 682.29/x
  3. Step 3: Cross multiply
    813.81x = 1,213.86 × 682.29
  4. Step 4: Simplify right side
    813.81x = 828,204.54
  5. Step 5: Solve for x
    x = 828,204.54/813.81
  6. Step 6: Final answer
    x = 1,017.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.