Finding the Fourth Proportional to 670.72, 1,006.24 and 286
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Solution
The fourth proportional to 670.72, 1,006.24 and 286 is: 429.07
Step by Step Solution
- Step 1: Write the proportion equation
670.72 : 1,006.24 = 286 : x - Step 2: Convert to fraction form
670.72/1,006.24 = 286/x - Step 3: Cross multiply
670.72x = 1,006.24 × 286 - Step 4: Simplify right side
670.72x = 287,784.64 - Step 5: Solve for x
x = 287,784.64/670.72 - Step 6: Final answer
x = 429.07
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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.