Finding the Fourth Proportional to 804.64, 1,206 and 559.84
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Solution
The fourth proportional to 804.64, 1,206 and 559.84 is: 839.09
Step by Step Solution
- Step 1: Write the proportion equation
804.64 : 1,206 = 559.84 : x - Step 2: Convert to fraction form
804.64/1,206 = 559.84/x - Step 3: Cross multiply
804.64x = 1,206 × 559.84 - Step 4: Simplify right side
804.64x = 675,167.04 - Step 5: Solve for x
x = 675,167.04/804.64 - Step 6: Final answer
x = 839.09
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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.