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Finding the Fourth Proportional to 1,241.77, 1,863.73 and 657.19

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Solution

The fourth proportional to 1,241.77, 1,863.73 and 657.19 is: 986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.77 : 1,863.73 = 657.19 : x
  2. Step 2: Convert to fraction form
    1,241.77/1,863.73 = 657.19/x
  3. Step 3: Cross multiply
    1,241.77x = 1,863.73 × 657.19
  4. Step 4: Simplify right side
    1,241.77x = 1,224,825.95
  5. Step 5: Solve for x
    x = 1,224,825.95/1,241.77
  6. Step 6: Final answer
    x = 986.36

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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.