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Finding the Fourth Proportional to 1,212.09, 1,816.71 and 664.74

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Solution

The fourth proportional to 1,212.09, 1,816.71 and 664.74 is: 996.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.09 : 1,816.71 = 664.74 : x
  2. Step 2: Convert to fraction form
    1,212.09/1,816.71 = 664.74/x
  3. Step 3: Cross multiply
    1,212.09x = 1,816.71 × 664.74
  4. Step 4: Simplify right side
    1,212.09x = 1,207,639.81
  5. Step 5: Solve for x
    x = 1,207,639.81/1,212.09
  6. Step 6: Final answer
    x = 996.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.