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Finding the Fourth Proportional to 812.54, 1,219.17 and 379.71

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Solution

The fourth proportional to 812.54, 1,219.17 and 379.71 is: 569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.54 : 1,219.17 = 379.71 : x
  2. Step 2: Convert to fraction form
    812.54/1,219.17 = 379.71/x
  3. Step 3: Cross multiply
    812.54x = 1,219.17 × 379.71
  4. Step 4: Simplify right side
    812.54x = 462,931.04
  5. Step 5: Solve for x
    x = 462,931.04/812.54
  6. Step 6: Final answer
    x = 569.74

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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.