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Finding the Fourth Proportional to 1,311.41, 1,967.11 and 467.73

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Solution

The fourth proportional to 1,311.41, 1,967.11 and 467.73 is: 701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.41 : 1,967.11 = 467.73 : x
  2. Step 2: Convert to fraction form
    1,311.41/1,967.11 = 467.73/x
  3. Step 3: Cross multiply
    1,311.41x = 1,967.11 × 467.73
  4. Step 4: Simplify right side
    1,311.41x = 920,076.36
  5. Step 5: Solve for x
    x = 920,076.36/1,311.41
  6. Step 6: Final answer
    x = 701.59

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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.