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Finding the Fourth Proportional to 1,241.38, 1,713.99 and 994.06

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Solution

The fourth proportional to 1,241.38, 1,713.99 and 994.06 is: 1,372.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.38 : 1,713.99 = 994.06 : x
  2. Step 2: Convert to fraction form
    1,241.38/1,713.99 = 994.06/x
  3. Step 3: Cross multiply
    1,241.38x = 1,713.99 × 994.06
  4. Step 4: Simplify right side
    1,241.38x = 1,703,808.90
  5. Step 5: Solve for x
    x = 1,703,808.90/1,241.38
  6. Step 6: Final answer
    x = 1,372.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.