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Finding the Fourth Proportional to 1,327.62, 1,992.09 and 536.94

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Solution

The fourth proportional to 1,327.62, 1,992.09 and 536.94 is: 805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.62 : 1,992.09 = 536.94 : x
  2. Step 2: Convert to fraction form
    1,327.62/1,992.09 = 536.94/x
  3. Step 3: Cross multiply
    1,327.62x = 1,992.09 × 536.94
  4. Step 4: Simplify right side
    1,327.62x = 1,069,632.80
  5. Step 5: Solve for x
    x = 1,069,632.80/1,327.62
  6. Step 6: Final answer
    x = 805.68

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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.