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Finding the Fourth Proportional to 984.54, 1,359.23 and 653.42

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Solution

The fourth proportional to 984.54, 1,359.23 and 653.42 is: 902.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.54 : 1,359.23 = 653.42 : x
  2. Step 2: Convert to fraction form
    984.54/1,359.23 = 653.42/x
  3. Step 3: Cross multiply
    984.54x = 1,359.23 × 653.42
  4. Step 4: Simplify right side
    984.54x = 888,141.27
  5. Step 5: Solve for x
    x = 888,141.27/984.54
  6. Step 6: Final answer
    x = 902.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.