Finding the Fourth Proportional to 830.46, 1,244.31 and 586.50
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Solution
The fourth proportional to 830.46, 1,244.31 and 586.50 is: 878.78
Step by Step Solution
- Step 1: Write the proportion equation
830.46 : 1,244.31 = 586.50 : x - Step 2: Convert to fraction form
830.46/1,244.31 = 586.50/x - Step 3: Cross multiply
830.46x = 1,244.31 × 586.50 - Step 4: Simplify right side
830.46x = 729,787.82 - Step 5: Solve for x
x = 729,787.82/830.46 - Step 6: Final answer
x = 878.78
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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.