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Finding the Fourth Proportional to 1,318.58, 1,974.21 and 667.95

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Solution

The fourth proportional to 1,318.58, 1,974.21 and 667.95 is: 1,000.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.58 : 1,974.21 = 667.95 : x
  2. Step 2: Convert to fraction form
    1,318.58/1,974.21 = 667.95/x
  3. Step 3: Cross multiply
    1,318.58x = 1,974.21 × 667.95
  4. Step 4: Simplify right side
    1,318.58x = 1,318,673.57
  5. Step 5: Solve for x
    x = 1,318,673.57/1,318.58
  6. Step 6: Final answer
    x = 1,000.07

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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.