Finding the Fourth Proportional to 943.83, 1,413 and 577.50
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Solution
The fourth proportional to 943.83, 1,413 and 577.50 is: 864.57
Step by Step Solution
- Step 1: Write the proportion equation
943.83 : 1,413 = 577.50 : x - Step 2: Convert to fraction form
943.83/1,413 = 577.50/x - Step 3: Cross multiply
943.83x = 1,413 × 577.50 - Step 4: Simplify right side
943.83x = 816,007.50 - Step 5: Solve for x
x = 816,007.50/943.83 - Step 6: Final answer
x = 864.57
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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.