Finding the Fourth Proportional to 1,180.32, 1,770.72 and 411.36
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Solution
The fourth proportional to 1,180.32, 1,770.72 and 411.36 is: 617.12
Step by Step Solution
- Step 1: Write the proportion equation
1,180.32 : 1,770.72 = 411.36 : x - Step 2: Convert to fraction form
1,180.32/1,770.72 = 411.36/x - Step 3: Cross multiply
1,180.32x = 1,770.72 × 411.36 - Step 4: Simplify right side
1,180.32x = 728,403.38 - Step 5: Solve for x
x = 728,403.38/1,180.32 - Step 6: Final answer
x = 617.12
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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.