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Finding the Fourth Proportional to 939.92, 1,410.56 and 453.24

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Solution

The fourth proportional to 939.92, 1,410.56 and 453.24 is: 680.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.92 : 1,410.56 = 453.24 : x
  2. Step 2: Convert to fraction form
    939.92/1,410.56 = 453.24/x
  3. Step 3: Cross multiply
    939.92x = 1,410.56 × 453.24
  4. Step 4: Simplify right side
    939.92x = 639,322.21
  5. Step 5: Solve for x
    x = 639,322.21/939.92
  6. Step 6: Final answer
    x = 680.19

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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.