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Finding the Fourth Proportional to 654.79, 982.70 and 289.82

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Solution

The fourth proportional to 654.79, 982.70 and 289.82 is: 434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.79 : 982.70 = 289.82 : x
  2. Step 2: Convert to fraction form
    654.79/982.70 = 289.82/x
  3. Step 3: Cross multiply
    654.79x = 982.70 × 289.82
  4. Step 4: Simplify right side
    654.79x = 284,806.11
  5. Step 5: Solve for x
    x = 284,806.11/654.79
  6. Step 6: Final answer
    x = 434.96

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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.