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Finding the Fourth Proportional to 901.11, 1,351.67 and 516.09

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Solution

The fourth proportional to 901.11, 1,351.67 and 516.09 is: 774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.11 : 1,351.67 = 516.09 : x
  2. Step 2: Convert to fraction form
    901.11/1,351.67 = 516.09/x
  3. Step 3: Cross multiply
    901.11x = 1,351.67 × 516.09
  4. Step 4: Simplify right side
    901.11x = 697,583.37
  5. Step 5: Solve for x
    x = 697,583.37/901.11
  6. Step 6: Final answer
    x = 774.14

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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.