Finding the Fourth Proportional to 824.86, 1,237.90 and 664.48
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Solution
The fourth proportional to 824.86, 1,237.90 and 664.48 is: 997.21
Step by Step Solution
- Step 1: Write the proportion equation
824.86 : 1,237.90 = 664.48 : x - Step 2: Convert to fraction form
824.86/1,237.90 = 664.48/x - Step 3: Cross multiply
824.86x = 1,237.90 × 664.48 - Step 4: Simplify right side
824.86x = 822,556.47 - Step 5: Solve for x
x = 822,556.47/824.86 - Step 6: Final answer
x = 997.21
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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.