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Finding the Fourth Proportional to 812.63, 1,219.02 and 325.69

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Solution

The fourth proportional to 812.63, 1,219.02 and 325.69 is: 488.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.63 : 1,219.02 = 325.69 : x
  2. Step 2: Convert to fraction form
    812.63/1,219.02 = 325.69/x
  3. Step 3: Cross multiply
    812.63x = 1,219.02 × 325.69
  4. Step 4: Simplify right side
    812.63x = 397,018.35
  5. Step 5: Solve for x
    x = 397,018.35/812.63
  6. Step 6: Final answer
    x = 488.56

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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.