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Finding the Fourth Proportional to 812.67, 1,217.18 and 570.27

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Solution

The fourth proportional to 812.67, 1,217.18 and 570.27 is: 854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.67 : 1,217.18 = 570.27 : x
  2. Step 2: Convert to fraction form
    812.67/1,217.18 = 570.27/x
  3. Step 3: Cross multiply
    812.67x = 1,217.18 × 570.27
  4. Step 4: Simplify right side
    812.67x = 694,124.02
  5. Step 5: Solve for x
    x = 694,124.02/812.67
  6. Step 6: Final answer
    x = 854.13

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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.