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Finding the Fourth Proportional to 1,202.97, 1,804.47 and 472.62

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Solution

The fourth proportional to 1,202.97, 1,804.47 and 472.62 is: 708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.97 : 1,804.47 = 472.62 : x
  2. Step 2: Convert to fraction form
    1,202.97/1,804.47 = 472.62/x
  3. Step 3: Cross multiply
    1,202.97x = 1,804.47 × 472.62
  4. Step 4: Simplify right side
    1,202.97x = 852,828.61
  5. Step 5: Solve for x
    x = 852,828.61/1,202.97
  6. Step 6: Final answer
    x = 708.94

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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.