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Finding the Fourth Proportional to 754.94, 1,132.28 and 241.94

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Solution

The fourth proportional to 754.94, 1,132.28 and 241.94 is: 362.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.94 : 1,132.28 = 241.94 : x
  2. Step 2: Convert to fraction form
    754.94/1,132.28 = 241.94/x
  3. Step 3: Cross multiply
    754.94x = 1,132.28 × 241.94
  4. Step 4: Simplify right side
    754.94x = 273,938.77
  5. Step 5: Solve for x
    x = 273,938.77/754.94
  6. Step 6: Final answer
    x = 362.86

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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.