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Finding the Fourth Proportional to 952.33, 1,429.04 and 541.21

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Solution

The fourth proportional to 952.33, 1,429.04 and 541.21 is: 812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.33 : 1,429.04 = 541.21 : x
  2. Step 2: Convert to fraction form
    952.33/1,429.04 = 541.21/x
  3. Step 3: Cross multiply
    952.33x = 1,429.04 × 541.21
  4. Step 4: Simplify right side
    952.33x = 773,408.03
  5. Step 5: Solve for x
    x = 773,408.03/952.33
  6. Step 6: Final answer
    x = 812.12

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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.