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Finding the Fourth Proportional to 1,241.90, 1,863.53 and 755.29

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Solution

The fourth proportional to 1,241.90, 1,863.53 and 755.29 is: 1,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.90 : 1,863.53 = 755.29 : x
  2. Step 2: Convert to fraction form
    1,241.90/1,863.53 = 755.29/x
  3. Step 3: Cross multiply
    1,241.90x = 1,863.53 × 755.29
  4. Step 4: Simplify right side
    1,241.90x = 1,407,497.14
  5. Step 5: Solve for x
    x = 1,407,497.14/1,241.90
  6. Step 6: Final answer
    x = 1,133.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.