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Finding the Fourth Proportional to 812.75, 1,219.14 and 292.79

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Solution

The fourth proportional to 812.75, 1,219.14 and 292.79 is: 439.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.75 : 1,219.14 = 292.79 : x
  2. Step 2: Convert to fraction form
    812.75/1,219.14 = 292.79/x
  3. Step 3: Cross multiply
    812.75x = 1,219.14 × 292.79
  4. Step 4: Simplify right side
    812.75x = 356,955.87
  5. Step 5: Solve for x
    x = 356,955.87/812.75
  6. Step 6: Final answer
    x = 439.19

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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.