Finding the Fourth Proportional to 897.56, 1,346.34 and 512
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Solution
The fourth proportional to 897.56, 1,346.34 and 512 is: 768
Step by Step Solution
- Step 1: Write the proportion equation
897.56 : 1,346.34 = 512 : x - Step 2: Convert to fraction form
897.56/1,346.34 = 512/x - Step 3: Cross multiply
897.56x = 1,346.34 × 512 - Step 4: Simplify right side
897.56x = 689,326.08 - Step 5: Solve for x
x = 689,326.08/897.56 - Step 6: Final answer
x = 768
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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.