Finding the Fourth Proportional to 874.22, 1,309.58 and 565
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Solution
The fourth proportional to 874.22, 1,309.58 and 565 is: 846.37
Step by Step Solution
- Step 1: Write the proportion equation
874.22 : 1,309.58 = 565 : x - Step 2: Convert to fraction form
874.22/1,309.58 = 565/x - Step 3: Cross multiply
874.22x = 1,309.58 × 565 - Step 4: Simplify right side
874.22x = 739,912.70 - Step 5: Solve for x
x = 739,912.70/874.22 - Step 6: Final answer
x = 846.37
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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.