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Finding the Fourth Proportional to 1,402.75, 1,935.75 and 773.29

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Solution

The fourth proportional to 1,402.75, 1,935.75 and 773.29 is: 1,067.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.75 : 1,935.75 = 773.29 : x
  2. Step 2: Convert to fraction form
    1,402.75/1,935.75 = 773.29/x
  3. Step 3: Cross multiply
    1,402.75x = 1,935.75 × 773.29
  4. Step 4: Simplify right side
    1,402.75x = 1,496,896.12
  5. Step 5: Solve for x
    x = 1,496,896.12/1,402.75
  6. Step 6: Final answer
    x = 1,067.12

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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.