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Finding the Fourth Proportional to 654.54, 980.04 and 523.92

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Solution

The fourth proportional to 654.54, 980.04 and 523.92 is: 784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.54 : 980.04 = 523.92 : x
  2. Step 2: Convert to fraction form
    654.54/980.04 = 523.92/x
  3. Step 3: Cross multiply
    654.54x = 980.04 × 523.92
  4. Step 4: Simplify right side
    654.54x = 513,462.56
  5. Step 5: Solve for x
    x = 513,462.56/654.54
  6. Step 6: Final answer
    x = 784.46

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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.