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Finding the Fourth Proportional to 812.96, 1,219.31 and 292.87

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Solution

The fourth proportional to 812.96, 1,219.31 and 292.87 is: 439.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.96 : 1,219.31 = 292.87 : x
  2. Step 2: Convert to fraction form
    812.96/1,219.31 = 292.87/x
  3. Step 3: Cross multiply
    812.96x = 1,219.31 × 292.87
  4. Step 4: Simplify right side
    812.96x = 357,097.86
  5. Step 5: Solve for x
    x = 357,097.86/812.96
  6. Step 6: Final answer
    x = 439.26

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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.