Finding the Fourth Proportional to 523.89, 785.82 and 139.14
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Solution
The fourth proportional to 523.89, 785.82 and 139.14 is: 208.71
Step by Step Solution
- Step 1: Write the proportion equation
523.89 : 785.82 = 139.14 : x - Step 2: Convert to fraction form
523.89/785.82 = 139.14/x - Step 3: Cross multiply
523.89x = 785.82 × 139.14 - Step 4: Simplify right side
523.89x = 109,338.99 - Step 5: Solve for x
x = 109,338.99/523.89 - Step 6: Final answer
x = 208.71
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.