Finding the Fourth Proportional to 798, 1,197 and 342
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Solution
The fourth proportional to 798, 1,197 and 342 is: 513
Step by Step Solution
- Step 1: Write the proportion equation
798 : 1,197 = 342 : x - Step 2: Convert to fraction form
798/1,197 = 342/x - Step 3: Cross multiply
798x = 1,197 × 342 - Step 4: Simplify right side
798x = 409,374 - Step 5: Solve for x
x = 409,374/798 - Step 6: Final answer
x = 513
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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.