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Finding the Fourth Proportional to 654.75, 904.72 and 487.37

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Solution

The fourth proportional to 654.75, 904.72 and 487.37 is: 673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.75 : 904.72 = 487.37 : x
  2. Step 2: Convert to fraction form
    654.75/904.72 = 487.37/x
  3. Step 3: Cross multiply
    654.75x = 904.72 × 487.37
  4. Step 4: Simplify right side
    654.75x = 440,930.25
  5. Step 5: Solve for x
    x = 440,930.25/654.75
  6. Step 6: Final answer
    x = 673.43

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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.