Finding the Fourth Proportional to 792.56, 1,188.12 and 407
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Solution
The fourth proportional to 792.56, 1,188.12 and 407 is: 610.13
Step by Step Solution
- Step 1: Write the proportion equation
792.56 : 1,188.12 = 407 : x - Step 2: Convert to fraction form
792.56/1,188.12 = 407/x - Step 3: Cross multiply
792.56x = 1,188.12 × 407 - Step 4: Simplify right side
792.56x = 483,564.84 - Step 5: Solve for x
x = 483,564.84/792.56 - Step 6: Final answer
x = 610.13
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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.