Finding the Fourth Proportional to 772, 1,158 and 259.04
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Solution
The fourth proportional to 772, 1,158 and 259.04 is: 388.56
Step by Step Solution
- Step 1: Write the proportion equation
772 : 1,158 = 259.04 : x - Step 2: Convert to fraction form
772/1,158 = 259.04/x - Step 3: Cross multiply
772x = 1,158 × 259.04 - Step 4: Simplify right side
772x = 299,968.32 - Step 5: Solve for x
x = 299,968.32/772 - Step 6: Final answer
x = 388.56
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.