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Finding the Fourth Proportional to 1,336.41, 2,005.00 and 556.27

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Solution

The fourth proportional to 1,336.41, 2,005.00 and 556.27 is: 834.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,336.41 : 2,005.00 = 556.27 : x
  2. Step 2: Convert to fraction form
    1,336.41/2,005.00 = 556.27/x
  3. Step 3: Cross multiply
    1,336.41x = 2,005.00 × 556.27
  4. Step 4: Simplify right side
    1,336.41x = 1,115,314.95
  5. Step 5: Solve for x
    x = 1,115,314.95/1,336.41
  6. Step 6: Final answer
    x = 834.56

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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.