Finding the Fourth Proportional to 870, 1,305 and 262
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Solution
The fourth proportional to 870, 1,305 and 262 is: 393
Step by Step Solution
- Step 1: Write the proportion equation
870 : 1,305 = 262 : x - Step 2: Convert to fraction form
870/1,305 = 262/x - Step 3: Cross multiply
870x = 1,305 × 262 - Step 4: Simplify right side
870x = 341,910 - Step 5: Solve for x
x = 341,910/870 - Step 6: Final answer
x = 393
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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.