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Finding the Fourth Proportional to 812.82, 1,215.99 and 650.82

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Solution

The fourth proportional to 812.82, 1,215.99 and 650.82 is: 973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.82 : 1,215.99 = 650.82 : x
  2. Step 2: Convert to fraction form
    812.82/1,215.99 = 650.82/x
  3. Step 3: Cross multiply
    812.82x = 1,215.99 × 650.82
  4. Step 4: Simplify right side
    812.82x = 791,390.61
  5. Step 5: Solve for x
    x = 791,390.61/812.82
  6. Step 6: Final answer
    x = 973.64

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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.