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Finding the Fourth Proportional to 812.35, 1,219.16 and 325.72

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Solution

The fourth proportional to 812.35, 1,219.16 and 325.72 is: 488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.35 : 1,219.16 = 325.72 : x
  2. Step 2: Convert to fraction form
    812.35/1,219.16 = 325.72/x
  3. Step 3: Cross multiply
    812.35x = 1,219.16 × 325.72
  4. Step 4: Simplify right side
    812.35x = 397,104.80
  5. Step 5: Solve for x
    x = 397,104.80/812.35
  6. Step 6: Final answer
    x = 488.83

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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.