Finding the Fourth Proportional to 909.84, 1,364.80 and 546.96
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Solution
The fourth proportional to 909.84, 1,364.80 and 546.96 is: 820.46
Step by Step Solution
- Step 1: Write the proportion equation
909.84 : 1,364.80 = 546.96 : x - Step 2: Convert to fraction form
909.84/1,364.80 = 546.96/x - Step 3: Cross multiply
909.84x = 1,364.80 × 546.96 - Step 4: Simplify right side
909.84x = 746,491.01 - Step 5: Solve for x
x = 746,491.01/909.84 - Step 6: Final answer
x = 820.46
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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.