Finding the Fourth Proportional to 1,198.04, 1,795.98 and 428.36
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Solution
The fourth proportional to 1,198.04, 1,795.98 and 428.36 is: 642.15
Step by Step Solution
- Step 1: Write the proportion equation
1,198.04 : 1,795.98 = 428.36 : x - Step 2: Convert to fraction form
1,198.04/1,795.98 = 428.36/x - Step 3: Cross multiply
1,198.04x = 1,795.98 × 428.36 - Step 4: Simplify right side
1,198.04x = 769,325.99 - Step 5: Solve for x
x = 769,325.99/1,198.04 - Step 6: Final answer
x = 642.15
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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.