Finding the Fourth Proportional to 733.52, 1,012.20 and 422.96
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Solution
The fourth proportional to 733.52, 1,012.20 and 422.96 is: 583.65
Step by Step Solution
- Step 1: Write the proportion equation
733.52 : 1,012.20 = 422.96 : x - Step 2: Convert to fraction form
733.52/1,012.20 = 422.96/x - Step 3: Cross multiply
733.52x = 1,012.20 × 422.96 - Step 4: Simplify right side
733.52x = 428,120.11 - Step 5: Solve for x
x = 428,120.11/733.52 - Step 6: Final answer
x = 583.65
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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.