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Finding the Fourth Proportional to 1,403.01, 1,936.05 and 773.55

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Solution

The fourth proportional to 1,403.01, 1,936.05 and 773.55 is: 1,067.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.01 : 1,936.05 = 773.55 : x
  2. Step 2: Convert to fraction form
    1,403.01/1,936.05 = 773.55/x
  3. Step 3: Cross multiply
    1,403.01x = 1,936.05 × 773.55
  4. Step 4: Simplify right side
    1,403.01x = 1,497,631.48
  5. Step 5: Solve for x
    x = 1,497,631.48/1,403.01
  6. Step 6: Final answer
    x = 1,067.44

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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.