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Finding the Fourth Proportional to 755.82, 1,134 and 323.01

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Solution

The fourth proportional to 755.82, 1,134 and 323.01 is: 484.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.82 : 1,134 = 323.01 : x
  2. Step 2: Convert to fraction form
    755.82/1,134 = 323.01/x
  3. Step 3: Cross multiply
    755.82x = 1,134 × 323.01
  4. Step 4: Simplify right side
    755.82x = 366,293.34
  5. Step 5: Solve for x
    x = 366,293.34/755.82
  6. Step 6: Final answer
    x = 484.63

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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.