Finding the Fourth Proportional to 768.24, 1,151.40 and 378
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Solution
The fourth proportional to 768.24, 1,151.40 and 378 is: 566.53
Step by Step Solution
- Step 1: Write the proportion equation
768.24 : 1,151.40 = 378 : x - Step 2: Convert to fraction form
768.24/1,151.40 = 378/x - Step 3: Cross multiply
768.24x = 1,151.40 × 378 - Step 4: Simplify right side
768.24x = 435,229.20 - Step 5: Solve for x
x = 435,229.20/768.24 - Step 6: Final answer
x = 566.53
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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.