Finding the Fourth Proportional to 784.84, 1,082.58 and 598
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Solution
The fourth proportional to 784.84, 1,082.58 and 598 is: 824.86
Step by Step Solution
- Step 1: Write the proportion equation
784.84 : 1,082.58 = 598 : x - Step 2: Convert to fraction form
784.84/1,082.58 = 598/x - Step 3: Cross multiply
784.84x = 1,082.58 × 598 - Step 4: Simplify right side
784.84x = 647,382.84 - Step 5: Solve for x
x = 647,382.84/784.84 - Step 6: Final answer
x = 824.86
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.