Finding the Fourth Proportional to 775.91, 1,164.09 and 228.11
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Solution
The fourth proportional to 775.91, 1,164.09 and 228.11 is: 342.23
Step by Step Solution
- Step 1: Write the proportion equation
775.91 : 1,164.09 = 228.11 : x - Step 2: Convert to fraction form
775.91/1,164.09 = 228.11/x - Step 3: Cross multiply
775.91x = 1,164.09 × 228.11 - Step 4: Simplify right side
775.91x = 265,534.75 - Step 5: Solve for x
x = 265,534.75/775.91 - Step 6: Final answer
x = 342.23
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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.