Finding the Fourth Proportional to 1,042.50, 1,563.76 and 273
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Solution
The fourth proportional to 1,042.50, 1,563.76 and 273 is: 409.50
Step by Step Solution
- Step 1: Write the proportion equation
1,042.50 : 1,563.76 = 273 : x - Step 2: Convert to fraction form
1,042.50/1,563.76 = 273/x - Step 3: Cross multiply
1,042.50x = 1,563.76 × 273 - Step 4: Simplify right side
1,042.50x = 426,906.48 - Step 5: Solve for x
x = 426,906.48/1,042.50 - Step 6: Final answer
x = 409.50
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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.