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Finding the Fourth Proportional to 1,299.24, 1,947.23 and 650.16

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Solution

The fourth proportional to 1,299.24, 1,947.23 and 650.16 is: 974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.24 : 1,947.23 = 650.16 : x
  2. Step 2: Convert to fraction form
    1,299.24/1,947.23 = 650.16/x
  3. Step 3: Cross multiply
    1,299.24x = 1,947.23 × 650.16
  4. Step 4: Simplify right side
    1,299.24x = 1,266,007.81
  5. Step 5: Solve for x
    x = 1,266,007.81/1,299.24
  6. Step 6: Final answer
    x = 974.42

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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.