Finding the Fourth Proportional to 820, 1,230.04 and 242.88
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Solution
The fourth proportional to 820, 1,230.04 and 242.88 is: 364.33
Step by Step Solution
- Step 1: Write the proportion equation
820 : 1,230.04 = 242.88 : x - Step 2: Convert to fraction form
820/1,230.04 = 242.88/x - Step 3: Cross multiply
820x = 1,230.04 × 242.88 - Step 4: Simplify right side
820x = 298,752.12 - Step 5: Solve for x
x = 298,752.12/820 - Step 6: Final answer
x = 364.33
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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.