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Finding the Fourth Proportional to 1,236.31, 1,706.12 and 764.09

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Solution

The fourth proportional to 1,236.31, 1,706.12 and 764.09 is: 1,054.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.31 : 1,706.12 = 764.09 : x
  2. Step 2: Convert to fraction form
    1,236.31/1,706.12 = 764.09/x
  3. Step 3: Cross multiply
    1,236.31x = 1,706.12 × 764.09
  4. Step 4: Simplify right side
    1,236.31x = 1,303,629.68
  5. Step 5: Solve for x
    x = 1,303,629.68/1,236.31
  6. Step 6: Final answer
    x = 1,054.45

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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.