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Finding the Fourth Proportional to 947.99, 1,420.13 and 622.37

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Solution

The fourth proportional to 947.99, 1,420.13 and 622.37 is: 932.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.99 : 1,420.13 = 622.37 : x
  2. Step 2: Convert to fraction form
    947.99/1,420.13 = 622.37/x
  3. Step 3: Cross multiply
    947.99x = 1,420.13 × 622.37
  4. Step 4: Simplify right side
    947.99x = 883,846.31
  5. Step 5: Solve for x
    x = 883,846.31/947.99
  6. Step 6: Final answer
    x = 932.34

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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.