Finding the Fourth Proportional to 1,236, 1,705.72 and 684
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Solution
The fourth proportional to 1,236, 1,705.72 and 684 is: 943.94
Step by Step Solution
- Step 1: Write the proportion equation
1,236 : 1,705.72 = 684 : x - Step 2: Convert to fraction form
1,236/1,705.72 = 684/x - Step 3: Cross multiply
1,236x = 1,705.72 × 684 - Step 4: Simplify right side
1,236x = 1,166,712.48 - Step 5: Solve for x
x = 1,166,712.48/1,236 - Step 6: Final answer
x = 943.94
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.