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Finding the Fourth Proportional to 678.92, 938.25 and 513.07

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Solution

The fourth proportional to 678.92, 938.25 and 513.07 is: 709.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.92 : 938.25 = 513.07 : x
  2. Step 2: Convert to fraction form
    678.92/938.25 = 513.07/x
  3. Step 3: Cross multiply
    678.92x = 938.25 × 513.07
  4. Step 4: Simplify right side
    678.92x = 481,385.58
  5. Step 5: Solve for x
    x = 481,385.58/678.92
  6. Step 6: Final answer
    x = 709.05

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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.