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Finding the Fourth Proportional to 1,289.20, 1,777.95 and 1,040.44

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Solution

The fourth proportional to 1,289.20, 1,777.95 and 1,040.44 is: 1,434.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.20 : 1,777.95 = 1,040.44 : x
  2. Step 2: Convert to fraction form
    1,289.20/1,777.95 = 1,040.44/x
  3. Step 3: Cross multiply
    1,289.20x = 1,777.95 × 1,040.44
  4. Step 4: Simplify right side
    1,289.20x = 1,849,850.30
  5. Step 5: Solve for x
    x = 1,849,850.30/1,289.20
  6. Step 6: Final answer
    x = 1,434.88

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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.