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Finding the Fourth Proportional to 1,333.41, 1,840.10 and 727.75

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Solution

The fourth proportional to 1,333.41, 1,840.10 and 727.75 is: 1,004.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.41 : 1,840.10 = 727.75 : x
  2. Step 2: Convert to fraction form
    1,333.41/1,840.10 = 727.75/x
  3. Step 3: Cross multiply
    1,333.41x = 1,840.10 × 727.75
  4. Step 4: Simplify right side
    1,333.41x = 1,339,143.53
  5. Step 5: Solve for x
    x = 1,339,143.53/1,333.41
  6. Step 6: Final answer
    x = 1,004.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.