Finding the Fourth Proportional to 856.96, 1,285.44 and 280
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Solution
The fourth proportional to 856.96, 1,285.44 and 280 is: 420
Step by Step Solution
- Step 1: Write the proportion equation
856.96 : 1,285.44 = 280 : x - Step 2: Convert to fraction form
856.96/1,285.44 = 280/x - Step 3: Cross multiply
856.96x = 1,285.44 × 280 - Step 4: Simplify right side
856.96x = 359,923.20 - Step 5: Solve for x
x = 359,923.20/856.96 - Step 6: Final answer
x = 420
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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.