Finding the Fourth Proportional to 982.56, 1,470 and 827.68
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Solution
The fourth proportional to 982.56, 1,470 and 827.68 is: 1,238.29
Step by Step Solution
- Step 1: Write the proportion equation
982.56 : 1,470 = 827.68 : x - Step 2: Convert to fraction form
982.56/1,470 = 827.68/x - Step 3: Cross multiply
982.56x = 1,470 × 827.68 - Step 4: Simplify right side
982.56x = 1,216,689.60 - Step 5: Solve for x
x = 1,216,689.60/982.56 - Step 6: Final answer
x = 1,238.29
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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.