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Finding the Fourth Proportional to 1,324.19, 1,986.01 and 543.43

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Solution

The fourth proportional to 1,324.19, 1,986.01 and 543.43 is: 815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.19 : 1,986.01 = 543.43 : x
  2. Step 2: Convert to fraction form
    1,324.19/1,986.01 = 543.43/x
  3. Step 3: Cross multiply
    1,324.19x = 1,986.01 × 543.43
  4. Step 4: Simplify right side
    1,324.19x = 1,079,244.77
  5. Step 5: Solve for x
    x = 1,079,244.77/1,324.19
  6. Step 6: Final answer
    x = 815.03

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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.