Finding the Fourth Proportional to 813.84, 1,220.75 and 380.69
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Solution
The fourth proportional to 813.84, 1,220.75 and 380.69 is: 571.03
Step by Step Solution
- Step 1: Write the proportion equation
813.84 : 1,220.75 = 380.69 : x - Step 2: Convert to fraction form
813.84/1,220.75 = 380.69/x - Step 3: Cross multiply
813.84x = 1,220.75 × 380.69 - Step 4: Simplify right side
813.84x = 464,727.32 - Step 5: Solve for x
x = 464,727.32/813.84 - Step 6: Final answer
x = 571.03
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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.