Finding the Fourth Proportional to 597.84, 896.77 and 164.99
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Solution
The fourth proportional to 597.84, 896.77 and 164.99 is: 247.49
Step by Step Solution
- Step 1: Write the proportion equation
597.84 : 896.77 = 164.99 : x - Step 2: Convert to fraction form
597.84/896.77 = 164.99/x - Step 3: Cross multiply
597.84x = 896.77 × 164.99 - Step 4: Simplify right side
597.84x = 147,958.08 - Step 5: Solve for x
x = 147,958.08/597.84 - Step 6: Final answer
x = 247.49
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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.