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Finding the Fourth Proportional to 901.88, 1,352.84 and 381.88

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Solution

The fourth proportional to 901.88, 1,352.84 and 381.88 is: 572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.88 : 1,352.84 = 381.88 : x
  2. Step 2: Convert to fraction form
    901.88/1,352.84 = 381.88/x
  3. Step 3: Cross multiply
    901.88x = 1,352.84 × 381.88
  4. Step 4: Simplify right side
    901.88x = 516,622.54
  5. Step 5: Solve for x
    x = 516,622.54/901.88
  6. Step 6: Final answer
    x = 572.83

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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.