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Finding the Fourth Proportional to 1,202.75, 1,804.12 and 472.23

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Solution

The fourth proportional to 1,202.75, 1,804.12 and 472.23 is: 708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.75 : 1,804.12 = 472.23 : x
  2. Step 2: Convert to fraction form
    1,202.75/1,804.12 = 472.23/x
  3. Step 3: Cross multiply
    1,202.75x = 1,804.12 × 472.23
  4. Step 4: Simplify right side
    1,202.75x = 851,959.59
  5. Step 5: Solve for x
    x = 851,959.59/1,202.75
  6. Step 6: Final answer
    x = 708.34

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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.