Finding the Fourth Proportional to 1,627.56, 2,441.28 and 473.28
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Solution
The fourth proportional to 1,627.56, 2,441.28 and 473.28 is: 709.90
Step by Step Solution
- Step 1: Write the proportion equation
1,627.56 : 2,441.28 = 473.28 : x - Step 2: Convert to fraction form
1,627.56/2,441.28 = 473.28/x - Step 3: Cross multiply
1,627.56x = 2,441.28 × 473.28 - Step 4: Simplify right side
1,627.56x = 1,155,409.00 - Step 5: Solve for x
x = 1,155,409.00/1,627.56 - Step 6: Final answer
x = 709.90
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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.