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Finding the Fourth Proportional to 1,286.97, 1,930.55 and 637.53

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Solution

The fourth proportional to 1,286.97, 1,930.55 and 637.53 is: 956.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.97 : 1,930.55 = 637.53 : x
  2. Step 2: Convert to fraction form
    1,286.97/1,930.55 = 637.53/x
  3. Step 3: Cross multiply
    1,286.97x = 1,930.55 × 637.53
  4. Step 4: Simplify right side
    1,286.97x = 1,230,783.54
  5. Step 5: Solve for x
    x = 1,230,783.54/1,286.97
  6. Step 6: Final answer
    x = 956.34

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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.