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Finding the Fourth Proportional to 939.93, 1,410.57 and 453.27

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Solution

The fourth proportional to 939.93, 1,410.57 and 453.27 is: 680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.93 : 1,410.57 = 453.27 : x
  2. Step 2: Convert to fraction form
    939.93/1,410.57 = 453.27/x
  3. Step 3: Cross multiply
    939.93x = 1,410.57 × 453.27
  4. Step 4: Simplify right side
    939.93x = 639,369.06
  5. Step 5: Solve for x
    x = 639,369.06/939.93
  6. Step 6: Final answer
    x = 680.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.