Finding the Fourth Proportional to 986.66, 1,361.63 and 567
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Solution
The fourth proportional to 986.66, 1,361.63 and 567 is: 782.48
Step by Step Solution
- Step 1: Write the proportion equation
986.66 : 1,361.63 = 567 : x - Step 2: Convert to fraction form
986.66/1,361.63 = 567/x - Step 3: Cross multiply
986.66x = 1,361.63 × 567 - Step 4: Simplify right side
986.66x = 772,041.38 - Step 5: Solve for x
x = 772,041.38/986.66 - Step 6: Final answer
x = 782.48
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.