Finding the Fourth Proportional to 1,417.50, 1,956.15 and 796.50
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Solution
The fourth proportional to 1,417.50, 1,956.15 and 796.50 is: 1,099.17
Step by Step Solution
- Step 1: Write the proportion equation
1,417.50 : 1,956.15 = 796.50 : x - Step 2: Convert to fraction form
1,417.50/1,956.15 = 796.50/x - Step 3: Cross multiply
1,417.50x = 1,956.15 × 796.50 - Step 4: Simplify right side
1,417.50x = 1,558,073.48 - Step 5: Solve for x
x = 1,558,073.48/1,417.50 - Step 6: Final answer
x = 1,099.17
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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.