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Finding the Fourth Proportional to 1,288.44, 1,932.79 and 630.55

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Solution

The fourth proportional to 1,288.44, 1,932.79 and 630.55 is: 945.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.44 : 1,932.79 = 630.55 : x
  2. Step 2: Convert to fraction form
    1,288.44/1,932.79 = 630.55/x
  3. Step 3: Cross multiply
    1,288.44x = 1,932.79 × 630.55
  4. Step 4: Simplify right side
    1,288.44x = 1,218,720.73
  5. Step 5: Solve for x
    x = 1,218,720.73/1,288.44
  6. Step 6: Final answer
    x = 945.89

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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.