Finding the Fourth Proportional to 974.62, 1,460 and 511.71
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Solution
The fourth proportional to 974.62, 1,460 and 511.71 is: 766.55
Step by Step Solution
- Step 1: Write the proportion equation
974.62 : 1,460 = 511.71 : x - Step 2: Convert to fraction form
974.62/1,460 = 511.71/x - Step 3: Cross multiply
974.62x = 1,460 × 511.71 - Step 4: Simplify right side
974.62x = 747,096.60 - Step 5: Solve for x
x = 747,096.60/974.62 - Step 6: Final answer
x = 766.55
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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.