Finding the Fourth Proportional to 762.84, 1,144.32 and 378
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Solution
The fourth proportional to 762.84, 1,144.32 and 378 is: 567.03
Step by Step Solution
- Step 1: Write the proportion equation
762.84 : 1,144.32 = 378 : x - Step 2: Convert to fraction form
762.84/1,144.32 = 378/x - Step 3: Cross multiply
762.84x = 1,144.32 × 378 - Step 4: Simplify right side
762.84x = 432,552.96 - Step 5: Solve for x
x = 432,552.96/762.84 - Step 6: Final answer
x = 567.03
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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.