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Finding the Fourth Proportional to 1,324.14, 1,984.69 and 543.13

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Solution

The fourth proportional to 1,324.14, 1,984.69 and 543.13 is: 814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.14 : 1,984.69 = 543.13 : x
  2. Step 2: Convert to fraction form
    1,324.14/1,984.69 = 543.13/x
  3. Step 3: Cross multiply
    1,324.14x = 1,984.69 × 543.13
  4. Step 4: Simplify right side
    1,324.14x = 1,077,944.68
  5. Step 5: Solve for x
    x = 1,077,944.68/1,324.14
  6. Step 6: Final answer
    x = 814.07

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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.