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Finding the Fourth Proportional to 1,200.76, 1,798.38 and 789.76

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Solution

The fourth proportional to 1,200.76, 1,798.38 and 789.76 is: 1,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.76 : 1,798.38 = 789.76 : x
  2. Step 2: Convert to fraction form
    1,200.76/1,798.38 = 789.76/x
  3. Step 3: Cross multiply
    1,200.76x = 1,798.38 × 789.76
  4. Step 4: Simplify right side
    1,200.76x = 1,420,288.59
  5. Step 5: Solve for x
    x = 1,420,288.59/1,200.76
  6. Step 6: Final answer
    x = 1,182.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.