Finding the Fourth Proportional to 1,116.02, 1,674 and 457.88
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Solution
The fourth proportional to 1,116.02, 1,674 and 457.88 is: 686.80
Step by Step Solution
- Step 1: Write the proportion equation
1,116.02 : 1,674 = 457.88 : x - Step 2: Convert to fraction form
1,116.02/1,674 = 457.88/x - Step 3: Cross multiply
1,116.02x = 1,674 × 457.88 - Step 4: Simplify right side
1,116.02x = 766,482.75 - Step 5: Solve for x
x = 766,482.75/1,116.02 - Step 6: Final answer
x = 686.80
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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.