Finding the Fourth Proportional to 825.04, 1,237.52 and 312
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Solution
The fourth proportional to 825.04, 1,237.52 and 312 is: 467.98
Step by Step Solution
- Step 1: Write the proportion equation
825.04 : 1,237.52 = 312 : x - Step 2: Convert to fraction form
825.04/1,237.52 = 312/x - Step 3: Cross multiply
825.04x = 1,237.52 × 312 - Step 4: Simplify right side
825.04x = 386,106.24 - Step 5: Solve for x
x = 386,106.24/825.04 - Step 6: Final answer
x = 467.98
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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.