Finding the Fourth Proportional to 1,601.25, 2,401.97 and 447.09
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Solution
The fourth proportional to 1,601.25, 2,401.97 and 447.09 is: 670.66
Step by Step Solution
- Step 1: Write the proportion equation
1,601.25 : 2,401.97 = 447.09 : x - Step 2: Convert to fraction form
1,601.25/2,401.97 = 447.09/x - Step 3: Cross multiply
1,601.25x = 2,401.97 × 447.09 - Step 4: Simplify right side
1,601.25x = 1,073,894.53 - Step 5: Solve for x
x = 1,073,894.53/1,601.25 - Step 6: Final answer
x = 670.66
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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.