Finding the Fourth Proportional to 783.90, 1,174.14 and 567
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Solution
The fourth proportional to 783.90, 1,174.14 and 567 is: 849.26
Step by Step Solution
- Step 1: Write the proportion equation
783.90 : 1,174.14 = 567 : x - Step 2: Convert to fraction form
783.90/1,174.14 = 567/x - Step 3: Cross multiply
783.90x = 1,174.14 × 567 - Step 4: Simplify right side
783.90x = 665,737.38 - Step 5: Solve for x
x = 665,737.38/783.90 - Step 6: Final answer
x = 849.26
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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.