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Finding the Fourth Proportional to 1,241.76, 1,713.59 and 682.22

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Solution

The fourth proportional to 1,241.76, 1,713.59 and 682.22 is: 941.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.76 : 1,713.59 = 682.22 : x
  2. Step 2: Convert to fraction form
    1,241.76/1,713.59 = 682.22/x
  3. Step 3: Cross multiply
    1,241.76x = 1,713.59 × 682.22
  4. Step 4: Simplify right side
    1,241.76x = 1,169,033.39
  5. Step 5: Solve for x
    x = 1,169,033.39/1,241.76
  6. Step 6: Final answer
    x = 941.43

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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.