Finding the Fourth Proportional to 677.56, 1,014 and 417.46
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Solution
The fourth proportional to 677.56, 1,014 and 417.46 is: 624.75
Step by Step Solution
- Step 1: Write the proportion equation
677.56 : 1,014 = 417.46 : x - Step 2: Convert to fraction form
677.56/1,014 = 417.46/x - Step 3: Cross multiply
677.56x = 1,014 × 417.46 - Step 4: Simplify right side
677.56x = 423,304.44 - Step 5: Solve for x
x = 423,304.44/677.56 - Step 6: Final answer
x = 624.75
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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.