Finding the Fourth Proportional to 782.10, 1,076.49 and 548.82
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Solution
The fourth proportional to 782.10, 1,076.49 and 548.82 is: 755.40
Step by Step Solution
- Step 1: Write the proportion equation
782.10 : 1,076.49 = 548.82 : x - Step 2: Convert to fraction form
782.10/1,076.49 = 548.82/x - Step 3: Cross multiply
782.10x = 1,076.49 × 548.82 - Step 4: Simplify right side
782.10x = 590,799.24 - Step 5: Solve for x
x = 590,799.24/782.10 - Step 6: Final answer
x = 755.40
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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.