Finding the Fourth Proportional to 743.20, 1,114.69 and 281.20
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Solution
The fourth proportional to 743.20, 1,114.69 and 281.20 is: 421.75
Step by Step Solution
- Step 1: Write the proportion equation
743.20 : 1,114.69 = 281.20 : x - Step 2: Convert to fraction form
743.20/1,114.69 = 281.20/x - Step 3: Cross multiply
743.20x = 1,114.69 × 281.20 - Step 4: Simplify right side
743.20x = 313,446.03 - Step 5: Solve for x
x = 313,446.03/743.20 - Step 6: Final answer
x = 421.75
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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.