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Finding the Fourth Proportional to 1,282.53, 1,768.99 and 1,178.04

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Solution

The fourth proportional to 1,282.53, 1,768.99 and 1,178.04 is: 1,624.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.53 : 1,768.99 = 1,178.04 : x
  2. Step 2: Convert to fraction form
    1,282.53/1,768.99 = 1,178.04/x
  3. Step 3: Cross multiply
    1,282.53x = 1,768.99 × 1,178.04
  4. Step 4: Simplify right side
    1,282.53x = 2,083,940.98
  5. Step 5: Solve for x
    x = 2,083,940.98/1,282.53
  6. Step 6: Final answer
    x = 1,624.87

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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.