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Finding the Fourth Proportional to 1,241.30, 1,713.02 and 681.81

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Solution

The fourth proportional to 1,241.30, 1,713.02 and 681.81 is: 940.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.30 : 1,713.02 = 681.81 : x
  2. Step 2: Convert to fraction form
    1,241.30/1,713.02 = 681.81/x
  3. Step 3: Cross multiply
    1,241.30x = 1,713.02 × 681.81
  4. Step 4: Simplify right side
    1,241.30x = 1,167,946.89
  5. Step 5: Solve for x
    x = 1,167,946.89/1,241.30
  6. Step 6: Final answer
    x = 940.91

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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.