Finding the Fourth Proportional to 783.84, 1,176 and 564.96
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Solution
The fourth proportional to 783.84, 1,176 and 564.96 is: 847.61
Step by Step Solution
- Step 1: Write the proportion equation
783.84 : 1,176 = 564.96 : x - Step 2: Convert to fraction form
783.84/1,176 = 564.96/x - Step 3: Cross multiply
783.84x = 1,176 × 564.96 - Step 4: Simplify right side
783.84x = 664,392.96 - Step 5: Solve for x
x = 664,392.96/783.84 - Step 6: Final answer
x = 847.61
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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.