Finding the Fourth Proportional to 839, 1,157.82 and 471
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Solution
The fourth proportional to 839, 1,157.82 and 471 is: 649.98
Step by Step Solution
- Step 1: Write the proportion equation
839 : 1,157.82 = 471 : x - Step 2: Convert to fraction form
839/1,157.82 = 471/x - Step 3: Cross multiply
839x = 1,157.82 × 471 - Step 4: Simplify right side
839x = 545,333.22 - Step 5: Solve for x
x = 545,333.22/839 - Step 6: Final answer
x = 649.98
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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.