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Finding the Fourth Proportional to 938.39, 1,294.98 and 513.02

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Solution

The fourth proportional to 938.39, 1,294.98 and 513.02 is: 707.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.39 : 1,294.98 = 513.02 : x
  2. Step 2: Convert to fraction form
    938.39/1,294.98 = 513.02/x
  3. Step 3: Cross multiply
    938.39x = 1,294.98 × 513.02
  4. Step 4: Simplify right side
    938.39x = 664,342.88
  5. Step 5: Solve for x
    x = 664,342.88/938.39
  6. Step 6: Final answer
    x = 707.96

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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.