Finding the Fourth Proportional to 809.60, 1,214.40 and 734
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Solution
The fourth proportional to 809.60, 1,214.40 and 734 is: 1,101
Step by Step Solution
- Step 1: Write the proportion equation
809.60 : 1,214.40 = 734 : x - Step 2: Convert to fraction form
809.60/1,214.40 = 734/x - Step 3: Cross multiply
809.60x = 1,214.40 × 734 - Step 4: Simplify right side
809.60x = 891,369.60 - Step 5: Solve for x
x = 891,369.60/809.60 - Step 6: Final answer
x = 1,101
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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.