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Finding the Fourth Proportional to 654.15, 980.54 and 491.34

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Solution

The fourth proportional to 654.15, 980.54 and 491.34 is: 736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.15 : 980.54 = 491.34 : x
  2. Step 2: Convert to fraction form
    654.15/980.54 = 491.34/x
  3. Step 3: Cross multiply
    654.15x = 980.54 × 491.34
  4. Step 4: Simplify right side
    654.15x = 481,778.52
  5. Step 5: Solve for x
    x = 481,778.52/654.15
  6. Step 6: Final answer
    x = 736.50

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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.