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Finding the Fourth Proportional to 1,203.22, 1,804.86 and 381.48

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Solution

The fourth proportional to 1,203.22, 1,804.86 and 381.48 is: 572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.22 : 1,804.86 = 381.48 : x
  2. Step 2: Convert to fraction form
    1,203.22/1,804.86 = 381.48/x
  3. Step 3: Cross multiply
    1,203.22x = 1,804.86 × 381.48
  4. Step 4: Simplify right side
    1,203.22x = 688,517.99
  5. Step 5: Solve for x
    x = 688,517.99/1,203.22
  6. Step 6: Final answer
    x = 572.23

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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.