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Finding the Fourth Proportional to 812.19, 1,213.46 and 673.68

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Solution

The fourth proportional to 812.19, 1,213.46 and 673.68 is: 1,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.19 : 1,213.46 = 673.68 : x
  2. Step 2: Convert to fraction form
    812.19/1,213.46 = 673.68/x
  3. Step 3: Cross multiply
    812.19x = 1,213.46 × 673.68
  4. Step 4: Simplify right side
    812.19x = 817,485.42
  5. Step 5: Solve for x
    x = 817,485.42/812.19
  6. Step 6: Final answer
    x = 1,006.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.