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Finding the Fourth Proportional to 844.60, 1,265.82 and 382.36

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Solution

The fourth proportional to 844.60, 1,265.82 and 382.36 is: 573.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.60 : 1,265.82 = 382.36 : x
  2. Step 2: Convert to fraction form
    844.60/1,265.82 = 382.36/x
  3. Step 3: Cross multiply
    844.60x = 1,265.82 × 382.36
  4. Step 4: Simplify right side
    844.60x = 483,998.94
  5. Step 5: Solve for x
    x = 483,998.94/844.60
  6. Step 6: Final answer
    x = 573.05

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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.