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Finding the Fourth Proportional to 1,202.82, 1,804.70 and 472.27

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Solution

The fourth proportional to 1,202.82, 1,804.70 and 472.27 is: 708.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.82 : 1,804.70 = 472.27 : x
  2. Step 2: Convert to fraction form
    1,202.82/1,804.70 = 472.27/x
  3. Step 3: Cross multiply
    1,202.82x = 1,804.70 × 472.27
  4. Step 4: Simplify right side
    1,202.82x = 852,305.67
  5. Step 5: Solve for x
    x = 852,305.67/1,202.82
  6. Step 6: Final answer
    x = 708.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.