Finding the Fourth Proportional to 819, 1,227.60 and 379.80
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Solution
The fourth proportional to 819, 1,227.60 and 379.80 is: 569.28
Step by Step Solution
- Step 1: Write the proportion equation
819 : 1,227.60 = 379.80 : x - Step 2: Convert to fraction form
819/1,227.60 = 379.80/x - Step 3: Cross multiply
819x = 1,227.60 × 379.80 - Step 4: Simplify right side
819x = 466,242.48 - Step 5: Solve for x
x = 466,242.48/819 - Step 6: Final answer
x = 569.28
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.