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Finding the Fourth Proportional to 1,262.38, 1,893.66 and 778.54

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Solution

The fourth proportional to 1,262.38, 1,893.66 and 778.54 is: 1,167.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.38 : 1,893.66 = 778.54 : x
  2. Step 2: Convert to fraction form
    1,262.38/1,893.66 = 778.54/x
  3. Step 3: Cross multiply
    1,262.38x = 1,893.66 × 778.54
  4. Step 4: Simplify right side
    1,262.38x = 1,474,290.06
  5. Step 5: Solve for x
    x = 1,474,290.06/1,262.38
  6. Step 6: Final answer
    x = 1,167.87

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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.