Finding the Fourth Proportional to 1,372.50, 1,894 and 783
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Solution
The fourth proportional to 1,372.50, 1,894 and 783 is: 1,080.51
Step by Step Solution
- Step 1: Write the proportion equation
1,372.50 : 1,894 = 783 : x - Step 2: Convert to fraction form
1,372.50/1,894 = 783/x - Step 3: Cross multiply
1,372.50x = 1,894 × 783 - Step 4: Simplify right side
1,372.50x = 1,483,002 - Step 5: Solve for x
x = 1,483,002/1,372.50 - Step 6: Final answer
x = 1,080.51
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.