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Finding the Fourth Proportional to 812.67, 1,219.43 and 520.33

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Solution

The fourth proportional to 812.67, 1,219.43 and 520.33 is: 780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.67 : 1,219.43 = 520.33 : x
  2. Step 2: Convert to fraction form
    812.67/1,219.43 = 520.33/x
  3. Step 3: Cross multiply
    812.67x = 1,219.43 × 520.33
  4. Step 4: Simplify right side
    812.67x = 634,506.01
  5. Step 5: Solve for x
    x = 634,506.01/812.67
  6. Step 6: Final answer
    x = 780.77

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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.