Finding the Fourth Proportional to 809.20, 1,211.64 and 712
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Solution
The fourth proportional to 809.20, 1,211.64 and 712 is: 1,066.10
Step by Step Solution
- Step 1: Write the proportion equation
809.20 : 1,211.64 = 712 : x - Step 2: Convert to fraction form
809.20/1,211.64 = 712/x - Step 3: Cross multiply
809.20x = 1,211.64 × 712 - Step 4: Simplify right side
809.20x = 862,687.68 - Step 5: Solve for x
x = 862,687.68/809.20 - Step 6: Final answer
x = 1,066.10
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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.