Finding the Fourth Proportional to 843.64, 1,163.80 and 727
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Solution
The fourth proportional to 843.64, 1,163.80 and 727 is: 1,002.90
Step by Step Solution
- Step 1: Write the proportion equation
843.64 : 1,163.80 = 727 : x - Step 2: Convert to fraction form
843.64/1,163.80 = 727/x - Step 3: Cross multiply
843.64x = 1,163.80 × 727 - Step 4: Simplify right side
843.64x = 846,082.60 - Step 5: Solve for x
x = 846,082.60/843.64 - Step 6: Final answer
x = 1,002.90
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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.