Finding the Fourth Proportional to 892, 1,337.46 and 784
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Solution
The fourth proportional to 892, 1,337.46 and 784 is: 1,175.53
Step by Step Solution
- Step 1: Write the proportion equation
892 : 1,337.46 = 784 : x - Step 2: Convert to fraction form
892/1,337.46 = 784/x - Step 3: Cross multiply
892x = 1,337.46 × 784 - Step 4: Simplify right side
892x = 1,048,568.64 - Step 5: Solve for x
x = 1,048,568.64/892 - Step 6: Final answer
x = 1,175.53
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.