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Finding the Fourth Proportional to 1,180.37, 1,768.87 and 869.78

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Solution

The fourth proportional to 1,180.37, 1,768.87 and 869.78 is: 1,303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.37 : 1,768.87 = 869.78 : x
  2. Step 2: Convert to fraction form
    1,180.37/1,768.87 = 869.78/x
  3. Step 3: Cross multiply
    1,180.37x = 1,768.87 × 869.78
  4. Step 4: Simplify right side
    1,180.37x = 1,538,527.75
  5. Step 5: Solve for x
    x = 1,538,527.75/1,180.37
  6. Step 6: Final answer
    x = 1,303.43

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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.