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Finding the Fourth Proportional to 1,272.54, 1,907.46 and 622.38

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Solution

The fourth proportional to 1,272.54, 1,907.46 and 622.38 is: 932.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.54 : 1,907.46 = 622.38 : x
  2. Step 2: Convert to fraction form
    1,272.54/1,907.46 = 622.38/x
  3. Step 3: Cross multiply
    1,272.54x = 1,907.46 × 622.38
  4. Step 4: Simplify right side
    1,272.54x = 1,187,164.95
  5. Step 5: Solve for x
    x = 1,187,164.95/1,272.54
  6. Step 6: Final answer
    x = 932.91

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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.