Finding the Fourth Proportional to 1,647.45, 2,470.46 and 492.93
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Solution
The fourth proportional to 1,647.45, 2,470.46 and 492.93 is: 739.18
Step by Step Solution
- Step 1: Write the proportion equation
1,647.45 : 2,470.46 = 492.93 : x - Step 2: Convert to fraction form
1,647.45/2,470.46 = 492.93/x - Step 3: Cross multiply
1,647.45x = 2,470.46 × 492.93 - Step 4: Simplify right side
1,647.45x = 1,217,761.38 - Step 5: Solve for x
x = 1,217,761.38/1,647.45 - Step 6: Final answer
x = 739.18
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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.