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Finding the Fourth Proportional to 1,241.88, 1,713.91 and 682.45

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Solution

The fourth proportional to 1,241.88, 1,713.91 and 682.45 is: 941.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.88 : 1,713.91 = 682.45 : x
  2. Step 2: Convert to fraction form
    1,241.88/1,713.91 = 682.45/x
  3. Step 3: Cross multiply
    1,241.88x = 1,713.91 × 682.45
  4. Step 4: Simplify right side
    1,241.88x = 1,169,657.99
  5. Step 5: Solve for x
    x = 1,169,657.99/1,241.88
  6. Step 6: Final answer
    x = 941.84

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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.