Finding the Fourth Proportional to 1,200, 1,800 and 516.48
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Solution
The fourth proportional to 1,200, 1,800 and 516.48 is: 774.72
Step by Step Solution
- Step 1: Write the proportion equation
1,200 : 1,800 = 516.48 : x - Step 2: Convert to fraction form
1,200/1,800 = 516.48/x - Step 3: Cross multiply
1,200x = 1,800 × 516.48 - Step 4: Simplify right side
1,200x = 929,664 - Step 5: Solve for x
x = 929,664/1,200 - Step 6: Final answer
x = 774.72
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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.