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Finding the Fourth Proportional to 1,287.39, 1,930.45 and 629.32

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Solution

The fourth proportional to 1,287.39, 1,930.45 and 629.32 is: 943.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.39 : 1,930.45 = 629.32 : x
  2. Step 2: Convert to fraction form
    1,287.39/1,930.45 = 629.32/x
  3. Step 3: Cross multiply
    1,287.39x = 1,930.45 × 629.32
  4. Step 4: Simplify right side
    1,287.39x = 1,214,866.54
  5. Step 5: Solve for x
    x = 1,214,866.54/1,287.39
  6. Step 6: Final answer
    x = 943.66

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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.