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Finding the Fourth Proportional to 938.59, 1,295.28 and 518.98

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Solution

The fourth proportional to 938.59, 1,295.28 and 518.98 is: 716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.59 : 1,295.28 = 518.98 : x
  2. Step 2: Convert to fraction form
    938.59/1,295.28 = 518.98/x
  3. Step 3: Cross multiply
    938.59x = 1,295.28 × 518.98
  4. Step 4: Simplify right side
    938.59x = 672,224.41
  5. Step 5: Solve for x
    x = 672,224.41/938.59
  6. Step 6: Final answer
    x = 716.21

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Why These Related Problems?

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