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Finding the Fourth Proportional to 756.21, 1,134.21 and 293.94

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Solution

The fourth proportional to 756.21, 1,134.21 and 293.94 is: 440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.21 : 1,134.21 = 293.94 : x
  2. Step 2: Convert to fraction form
    756.21/1,134.21 = 293.94/x
  3. Step 3: Cross multiply
    756.21x = 1,134.21 × 293.94
  4. Step 4: Simplify right side
    756.21x = 333,395.04
  5. Step 5: Solve for x
    x = 333,395.04/756.21
  6. Step 6: Final answer
    x = 440.88

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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.