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Finding the Fourth Proportional to 1,337.78, 1,845.87 and 778.25

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Solution

The fourth proportional to 1,337.78, 1,845.87 and 778.25 is: 1,073.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.78 : 1,845.87 = 778.25 : x
  2. Step 2: Convert to fraction form
    1,337.78/1,845.87 = 778.25/x
  3. Step 3: Cross multiply
    1,337.78x = 1,845.87 × 778.25
  4. Step 4: Simplify right side
    1,337.78x = 1,436,548.33
  5. Step 5: Solve for x
    x = 1,436,548.33/1,337.78
  6. Step 6: Final answer
    x = 1,073.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.