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Finding the Fourth Proportional to 1,305.32, 1,958.31 and 483.82

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Solution

The fourth proportional to 1,305.32, 1,958.31 and 483.82 is: 725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.32 : 1,958.31 = 483.82 : x
  2. Step 2: Convert to fraction form
    1,305.32/1,958.31 = 483.82/x
  3. Step 3: Cross multiply
    1,305.32x = 1,958.31 × 483.82
  4. Step 4: Simplify right side
    1,305.32x = 947,469.54
  5. Step 5: Solve for x
    x = 947,469.54/1,305.32
  6. Step 6: Final answer
    x = 725.85

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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.