Finding the Fourth Proportional to 1,146.66, 1,719.98 and 280.97
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Solution
The fourth proportional to 1,146.66, 1,719.98 and 280.97 is: 421.45
Step by Step Solution
- Step 1: Write the proportion equation
1,146.66 : 1,719.98 = 280.97 : x - Step 2: Convert to fraction form
1,146.66/1,719.98 = 280.97/x - Step 3: Cross multiply
1,146.66x = 1,719.98 × 280.97 - Step 4: Simplify right side
1,146.66x = 483,261.86 - Step 5: Solve for x
x = 483,261.86/1,146.66 - Step 6: Final answer
x = 421.45
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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.