Finding the Fourth Proportional to 865.74, 1,298.88 and 289.02
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Solution
The fourth proportional to 865.74, 1,298.88 and 289.02 is: 433.62
Step by Step Solution
- Step 1: Write the proportion equation
865.74 : 1,298.88 = 289.02 : x - Step 2: Convert to fraction form
865.74/1,298.88 = 289.02/x - Step 3: Cross multiply
865.74x = 1,298.88 × 289.02 - Step 4: Simplify right side
865.74x = 375,402.30 - Step 5: Solve for x
x = 375,402.30/865.74 - Step 6: Final answer
x = 433.62
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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.