Finding the Fourth Proportional to 827.88, 1,242 and 280.08
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Solution
The fourth proportional to 827.88, 1,242 and 280.08 is: 420.18
Step by Step Solution
- Step 1: Write the proportion equation
827.88 : 1,242 = 280.08 : x - Step 2: Convert to fraction form
827.88/1,242 = 280.08/x - Step 3: Cross multiply
827.88x = 1,242 × 280.08 - Step 4: Simplify right side
827.88x = 347,859.36 - Step 5: Solve for x
x = 347,859.36/827.88 - Step 6: Final answer
x = 420.18
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.