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Finding the Fourth Proportional to 654.71, 980.51 and 516.83

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Solution

The fourth proportional to 654.71, 980.51 and 516.83 is: 774.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.71 : 980.51 = 516.83 : x
  2. Step 2: Convert to fraction form
    654.71/980.51 = 516.83/x
  3. Step 3: Cross multiply
    654.71x = 980.51 × 516.83
  4. Step 4: Simplify right side
    654.71x = 506,760.73
  5. Step 5: Solve for x
    x = 506,760.73/654.71
  6. Step 6: Final answer
    x = 774.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.