Finding the Fourth Proportional to 698.34, 963.78 and 478.02
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Solution
The fourth proportional to 698.34, 963.78 and 478.02 is: 659.72
Step by Step Solution
- Step 1: Write the proportion equation
698.34 : 963.78 = 478.02 : x - Step 2: Convert to fraction form
698.34/963.78 = 478.02/x - Step 3: Cross multiply
698.34x = 963.78 × 478.02 - Step 4: Simplify right side
698.34x = 460,706.12 - Step 5: Solve for x
x = 460,706.12/698.34 - Step 6: Final answer
x = 659.72
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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.