Finding the Fourth Proportional to 783.88, 1,176.06 and 271.24
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Solution
The fourth proportional to 783.88, 1,176.06 and 271.24 is: 406.94
Step by Step Solution
- Step 1: Write the proportion equation
783.88 : 1,176.06 = 271.24 : x - Step 2: Convert to fraction form
783.88/1,176.06 = 271.24/x - Step 3: Cross multiply
783.88x = 1,176.06 × 271.24 - Step 4: Simplify right side
783.88x = 318,994.51 - Step 5: Solve for x
x = 318,994.51/783.88 - Step 6: Final answer
x = 406.94
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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.