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Finding the Fourth Proportional to 1,152.94, 1,729.39 and 331.21

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Solution

The fourth proportional to 1,152.94, 1,729.39 and 331.21 is: 496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.94 : 1,729.39 = 331.21 : x
  2. Step 2: Convert to fraction form
    1,152.94/1,729.39 = 331.21/x
  3. Step 3: Cross multiply
    1,152.94x = 1,729.39 × 331.21
  4. Step 4: Simplify right side
    1,152.94x = 572,791.26
  5. Step 5: Solve for x
    x = 572,791.26/1,152.94
  6. Step 6: Final answer
    x = 496.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.