Finding the Fourth Proportional to 902.75, 1,354.13 and 294.75
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Solution
The fourth proportional to 902.75, 1,354.13 and 294.75 is: 442.13
Step by Step Solution
- Step 1: Write the proportion equation
902.75 : 1,354.13 = 294.75 : x - Step 2: Convert to fraction form
902.75/1,354.13 = 294.75/x - Step 3: Cross multiply
902.75x = 1,354.13 × 294.75 - Step 4: Simplify right side
902.75x = 399,129.82 - Step 5: Solve for x
x = 399,129.82/902.75 - Step 6: Final answer
x = 442.13
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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.