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Finding the Fourth Proportional to 1,180.30, 1,769.67 and 660.35

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Solution

The fourth proportional to 1,180.30, 1,769.67 and 660.35 is: 990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.30 : 1,769.67 = 660.35 : x
  2. Step 2: Convert to fraction form
    1,180.30/1,769.67 = 660.35/x
  3. Step 3: Cross multiply
    1,180.30x = 1,769.67 × 660.35
  4. Step 4: Simplify right side
    1,180.30x = 1,168,601.58
  5. Step 5: Solve for x
    x = 1,168,601.58/1,180.30
  6. Step 6: Final answer
    x = 990.09

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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.