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Finding the Fourth Proportional to 901.93, 1,351.86 and 381.82

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Solution

The fourth proportional to 901.93, 1,351.86 and 381.82 is: 572.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.93 : 1,351.86 = 381.82 : x
  2. Step 2: Convert to fraction form
    901.93/1,351.86 = 381.82/x
  3. Step 3: Cross multiply
    901.93x = 1,351.86 × 381.82
  4. Step 4: Simplify right side
    901.93x = 516,167.19
  5. Step 5: Solve for x
    x = 516,167.19/901.93
  6. Step 6: Final answer
    x = 572.29

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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.