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Finding the Fourth Proportional to 812.40, 1,212.22 and 762.81

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Solution

The fourth proportional to 812.40, 1,212.22 and 762.81 is: 1,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.40 : 1,212.22 = 762.81 : x
  2. Step 2: Convert to fraction form
    812.40/1,212.22 = 762.81/x
  3. Step 3: Cross multiply
    812.40x = 1,212.22 × 762.81
  4. Step 4: Simplify right side
    812.40x = 924,693.54
  5. Step 5: Solve for x
    x = 924,693.54/812.40
  6. Step 6: Final answer
    x = 1,138.22

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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.