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Finding the Fourth Proportional to 1,265.78, 1,745.97 and 793.70

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Solution

The fourth proportional to 1,265.78, 1,745.97 and 793.70 is: 1,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.78 : 1,745.97 = 793.70 : x
  2. Step 2: Convert to fraction form
    1,265.78/1,745.97 = 793.70/x
  3. Step 3: Cross multiply
    1,265.78x = 1,745.97 × 793.70
  4. Step 4: Simplify right side
    1,265.78x = 1,385,776.39
  5. Step 5: Solve for x
    x = 1,385,776.39/1,265.78
  6. Step 6: Final answer
    x = 1,094.80

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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.