Finding the Fourth Proportional to 778.75, 1,167.44 and 291.46
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Solution
The fourth proportional to 778.75, 1,167.44 and 291.46 is: 436.93
Step by Step Solution
- Step 1: Write the proportion equation
778.75 : 1,167.44 = 291.46 : x - Step 2: Convert to fraction form
778.75/1,167.44 = 291.46/x - Step 3: Cross multiply
778.75x = 1,167.44 × 291.46 - Step 4: Simplify right side
778.75x = 340,262.06 - Step 5: Solve for x
x = 340,262.06/778.75 - Step 6: Final answer
x = 436.93
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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.