Finding the Fourth Proportional to 684, 1,026.16 and 228
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Solution
The fourth proportional to 684, 1,026.16 and 228 is: 342.05
Step by Step Solution
- Step 1: Write the proportion equation
684 : 1,026.16 = 228 : x - Step 2: Convert to fraction form
684/1,026.16 = 228/x - Step 3: Cross multiply
684x = 1,026.16 × 228 - Step 4: Simplify right side
684x = 233,964.48 - Step 5: Solve for x
x = 233,964.48/684 - Step 6: Final answer
x = 342.05
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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.