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Finding the Fourth Proportional to 1,327.89, 1,992.27 and 403.48

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Solution

The fourth proportional to 1,327.89, 1,992.27 and 403.48 is: 605.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.89 : 1,992.27 = 403.48 : x
  2. Step 2: Convert to fraction form
    1,327.89/1,992.27 = 403.48/x
  3. Step 3: Cross multiply
    1,327.89x = 1,992.27 × 403.48
  4. Step 4: Simplify right side
    1,327.89x = 803,841.10
  5. Step 5: Solve for x
    x = 803,841.10/1,327.89
  6. Step 6: Final answer
    x = 605.35

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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.