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Finding the Fourth Proportional to 1,327.96, 1,992.30 and 462.34

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Solution

The fourth proportional to 1,327.96, 1,992.30 and 462.34 is: 693.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.96 : 1,992.30 = 462.34 : x
  2. Step 2: Convert to fraction form
    1,327.96/1,992.30 = 462.34/x
  3. Step 3: Cross multiply
    1,327.96x = 1,992.30 × 462.34
  4. Step 4: Simplify right side
    1,327.96x = 921,119.98
  5. Step 5: Solve for x
    x = 921,119.98/1,327.96
  6. Step 6: Final answer
    x = 693.64

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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.