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Finding the Fourth Proportional to 1,323.14, 1,984.86 and 543.11

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Solution

The fourth proportional to 1,323.14, 1,984.86 and 543.11 is: 814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.14 : 1,984.86 = 543.11 : x
  2. Step 2: Convert to fraction form
    1,323.14/1,984.86 = 543.11/x
  3. Step 3: Cross multiply
    1,323.14x = 1,984.86 × 543.11
  4. Step 4: Simplify right side
    1,323.14x = 1,077,997.31
  5. Step 5: Solve for x
    x = 1,077,997.31/1,323.14
  6. Step 6: Final answer
    x = 814.73

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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.