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Finding the Fourth Proportional to 938.14, 1,294.60 and 518.46

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Solution

The fourth proportional to 938.14, 1,294.60 and 518.46 is: 715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.14 : 1,294.60 = 518.46 : x
  2. Step 2: Convert to fraction form
    938.14/1,294.60 = 518.46/x
  3. Step 3: Cross multiply
    938.14x = 1,294.60 × 518.46
  4. Step 4: Simplify right side
    938.14x = 671,200.90
  5. Step 5: Solve for x
    x = 671,200.90/938.14
  6. Step 6: Final answer
    x = 715.46

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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.