Finding the Fourth Proportional to 783.92, 1,178.28 and 745.52
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Solution
The fourth proportional to 783.92, 1,178.28 and 745.52 is: 1,120.56
Step by Step Solution
- Step 1: Write the proportion equation
783.92 : 1,178.28 = 745.52 : x - Step 2: Convert to fraction form
783.92/1,178.28 = 745.52/x - Step 3: Cross multiply
783.92x = 1,178.28 × 745.52 - Step 4: Simplify right side
783.92x = 878,431.31 - Step 5: Solve for x
x = 878,431.31/783.92 - Step 6: Final answer
x = 1,120.56
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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.