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Finding the Fourth Proportional to 1,212.66, 1,672.40 and 820.22

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Solution

The fourth proportional to 1,212.66, 1,672.40 and 820.22 is: 1,131.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.66 : 1,672.40 = 820.22 : x
  2. Step 2: Convert to fraction form
    1,212.66/1,672.40 = 820.22/x
  3. Step 3: Cross multiply
    1,212.66x = 1,672.40 × 820.22
  4. Step 4: Simplify right side
    1,212.66x = 1,371,723.46
  5. Step 5: Solve for x
    x = 1,371,723.46/1,212.66
  6. Step 6: Final answer
    x = 1,131.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.