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Finding the Fourth Proportional to 812.86, 1,219.68 and 504.63

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Solution

The fourth proportional to 812.86, 1,219.68 and 504.63 is: 757.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.86 : 1,219.68 = 504.63 : x
  2. Step 2: Convert to fraction form
    812.86/1,219.68 = 504.63/x
  3. Step 3: Cross multiply
    812.86x = 1,219.68 × 504.63
  4. Step 4: Simplify right side
    812.86x = 615,487.12
  5. Step 5: Solve for x
    x = 615,487.12/812.86
  6. Step 6: Final answer
    x = 757.19

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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.