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Finding the Fourth Proportional to 1,333.12, 1,996.80 and 844.96

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Solution

The fourth proportional to 1,333.12, 1,996.80 and 844.96 is: 1,265.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.12 : 1,996.80 = 844.96 : x
  2. Step 2: Convert to fraction form
    1,333.12/1,996.80 = 844.96/x
  3. Step 3: Cross multiply
    1,333.12x = 1,996.80 × 844.96
  4. Step 4: Simplify right side
    1,333.12x = 1,687,216.13
  5. Step 5: Solve for x
    x = 1,687,216.13/1,333.12
  6. Step 6: Final answer
    x = 1,265.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.