Finding the Fourth Proportional to 982.50, 1,473.76 and 298.50
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Solution
The fourth proportional to 982.50, 1,473.76 and 298.50 is: 447.75
Step by Step Solution
- Step 1: Write the proportion equation
982.50 : 1,473.76 = 298.50 : x - Step 2: Convert to fraction form
982.50/1,473.76 = 298.50/x - Step 3: Cross multiply
982.50x = 1,473.76 × 298.50 - Step 4: Simplify right side
982.50x = 439,917.36 - Step 5: Solve for x
x = 439,917.36/982.50 - Step 6: Final answer
x = 447.75
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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.