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Finding the Fourth Proportional to 938.52, 1,295.14 and 518.88

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Solution

The fourth proportional to 938.52, 1,295.14 and 518.88 is: 716.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.52 : 1,295.14 = 518.88 : x
  2. Step 2: Convert to fraction form
    938.52/1,295.14 = 518.88/x
  3. Step 3: Cross multiply
    938.52x = 1,295.14 × 518.88
  4. Step 4: Simplify right side
    938.52x = 672,022.24
  5. Step 5: Solve for x
    x = 672,022.24/938.52
  6. Step 6: Final answer
    x = 716.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.