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Finding the Fourth Proportional to 940.02, 1,410.41 and 453.50

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Solution

The fourth proportional to 940.02, 1,410.41 and 453.50 is: 680.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.02 : 1,410.41 = 453.50 : x
  2. Step 2: Convert to fraction form
    940.02/1,410.41 = 453.50/x
  3. Step 3: Cross multiply
    940.02x = 1,410.41 × 453.50
  4. Step 4: Simplify right side
    940.02x = 639,620.94
  5. Step 5: Solve for x
    x = 639,620.94/940.02
  6. Step 6: Final answer
    x = 680.43

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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.