Finding the Fourth Proportional to 981.21, 1,471.42 and 433
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Solution
The fourth proportional to 981.21, 1,471.42 and 433 is: 649.33
Step by Step Solution
- Step 1: Write the proportion equation
981.21 : 1,471.42 = 433 : x - Step 2: Convert to fraction form
981.21/1,471.42 = 433/x - Step 3: Cross multiply
981.21x = 1,471.42 × 433 - Step 4: Simplify right side
981.21x = 637,124.86 - Step 5: Solve for x
x = 637,124.86/981.21 - Step 6: Final answer
x = 649.33
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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.