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Finding the Fourth Proportional to 654.50, 982.68 and 631.28

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Solution

The fourth proportional to 654.50, 982.68 and 631.28 is: 947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.50 : 982.68 = 631.28 : x
  2. Step 2: Convert to fraction form
    654.50/982.68 = 631.28/x
  3. Step 3: Cross multiply
    654.50x = 982.68 × 631.28
  4. Step 4: Simplify right side
    654.50x = 620,346.23
  5. Step 5: Solve for x
    x = 620,346.23/654.50
  6. Step 6: Final answer
    x = 947.82

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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.