Finding the Fourth Proportional to 745, 1,117.50 and 289
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Solution
The fourth proportional to 745, 1,117.50 and 289 is: 433.50
Step by Step Solution
- Step 1: Write the proportion equation
745 : 1,117.50 = 289 : x - Step 2: Convert to fraction form
745/1,117.50 = 289/x - Step 3: Cross multiply
745x = 1,117.50 × 289 - Step 4: Simplify right side
745x = 322,957.50 - Step 5: Solve for x
x = 322,957.50/745 - Step 6: Final answer
x = 433.50
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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.