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Finding the Fourth Proportional to 1,330.43, 1,996.10 and 405.96

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Solution

The fourth proportional to 1,330.43, 1,996.10 and 405.96 is: 609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.43 : 1,996.10 = 405.96 : x
  2. Step 2: Convert to fraction form
    1,330.43/1,996.10 = 405.96/x
  3. Step 3: Cross multiply
    1,330.43x = 1,996.10 × 405.96
  4. Step 4: Simplify right side
    1,330.43x = 810,334.73
  5. Step 5: Solve for x
    x = 810,334.73/1,330.43
  6. Step 6: Final answer
    x = 609.08

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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.