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Finding the Fourth Proportional to 1,180.09, 1,628.56 and 682.75

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Solution

The fourth proportional to 1,180.09, 1,628.56 and 682.75 is: 942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.09 : 1,628.56 = 682.75 : x
  2. Step 2: Convert to fraction form
    1,180.09/1,628.56 = 682.75/x
  3. Step 3: Cross multiply
    1,180.09x = 1,628.56 × 682.75
  4. Step 4: Simplify right side
    1,180.09x = 1,111,899.34
  5. Step 5: Solve for x
    x = 1,111,899.34/1,180.09
  6. Step 6: Final answer
    x = 942.22

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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.