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Finding the Fourth Proportional to 952.68, 1,428.96 and 864.56

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Solution

The fourth proportional to 952.68, 1,428.96 and 864.56 is: 1,296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.68 : 1,428.96 = 864.56 : x
  2. Step 2: Convert to fraction form
    952.68/1,428.96 = 864.56/x
  3. Step 3: Cross multiply
    952.68x = 1,428.96 × 864.56
  4. Step 4: Simplify right side
    952.68x = 1,235,421.66
  5. Step 5: Solve for x
    x = 1,235,421.66/952.68
  6. Step 6: Final answer
    x = 1,296.79

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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.