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Finding the Fourth Proportional to 1,265.14, 1,745.67 and 933.85

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Solution

The fourth proportional to 1,265.14, 1,745.67 and 933.85 is: 1,288.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.14 : 1,745.67 = 933.85 : x
  2. Step 2: Convert to fraction form
    1,265.14/1,745.67 = 933.85/x
  3. Step 3: Cross multiply
    1,265.14x = 1,745.67 × 933.85
  4. Step 4: Simplify right side
    1,265.14x = 1,630,193.93
  5. Step 5: Solve for x
    x = 1,630,193.93/1,265.14
  6. Step 6: Final answer
    x = 1,288.55

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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.