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Finding the Fourth Proportional to 947.54, 1,420.92 and 331.04

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Solution

The fourth proportional to 947.54, 1,420.92 and 331.04 is: 496.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.54 : 1,420.92 = 331.04 : x
  2. Step 2: Convert to fraction form
    947.54/1,420.92 = 331.04/x
  3. Step 3: Cross multiply
    947.54x = 1,420.92 × 331.04
  4. Step 4: Simplify right side
    947.54x = 470,374.25
  5. Step 5: Solve for x
    x = 470,374.25/947.54
  6. Step 6: Final answer
    x = 496.42

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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.