Finding the Fourth Proportional to 801.54, 1,203.06 and 494
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Solution
The fourth proportional to 801.54, 1,203.06 and 494 is: 741.46
Step by Step Solution
- Step 1: Write the proportion equation
801.54 : 1,203.06 = 494 : x - Step 2: Convert to fraction form
801.54/1,203.06 = 494/x - Step 3: Cross multiply
801.54x = 1,203.06 × 494 - Step 4: Simplify right side
801.54x = 594,311.64 - Step 5: Solve for x
x = 594,311.64/801.54 - Step 6: Final answer
x = 741.46
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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.