Finding the Fourth Proportional to 804, 1,206 and 196
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Solution
The fourth proportional to 804, 1,206 and 196 is: 294
Step by Step Solution
- Step 1: Write the proportion equation
804 : 1,206 = 196 : x - Step 2: Convert to fraction form
804/1,206 = 196/x - Step 3: Cross multiply
804x = 1,206 × 196 - Step 4: Simplify right side
804x = 236,376 - Step 5: Solve for x
x = 236,376/804 - Step 6: Final answer
x = 294
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.