Finding the Fourth Proportional to 1,228, 1,842 and 316
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Solution
The fourth proportional to 1,228, 1,842 and 316 is: 474
Step by Step Solution
- Step 1: Write the proportion equation
1,228 : 1,842 = 316 : x - Step 2: Convert to fraction form
1,228/1,842 = 316/x - Step 3: Cross multiply
1,228x = 1,842 × 316 - Step 4: Simplify right side
1,228x = 582,072 - Step 5: Solve for x
x = 582,072/1,228 - Step 6: Final answer
x = 474
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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.