Finding the Fourth Proportional to 667.52, 1,002 and 493.64
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Solution
The fourth proportional to 667.52, 1,002 and 493.64 is: 740.99
Step by Step Solution
- Step 1: Write the proportion equation
667.52 : 1,002 = 493.64 : x - Step 2: Convert to fraction form
667.52/1,002 = 493.64/x - Step 3: Cross multiply
667.52x = 1,002 × 493.64 - Step 4: Simplify right side
667.52x = 494,627.28 - Step 5: Solve for x
x = 494,627.28/667.52 - Step 6: Final answer
x = 740.99
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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.