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Finding the Fourth Proportional to 927.72, 1,390.64 and 516.42

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Solution

The fourth proportional to 927.72, 1,390.64 and 516.42 is: 774.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.72 : 1,390.64 = 516.42 : x
  2. Step 2: Convert to fraction form
    927.72/1,390.64 = 516.42/x
  3. Step 3: Cross multiply
    927.72x = 1,390.64 × 516.42
  4. Step 4: Simplify right side
    927.72x = 718,151.73
  5. Step 5: Solve for x
    x = 718,151.73/927.72
  6. Step 6: Final answer
    x = 774.10

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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.