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Finding the Fourth Proportional to 709.92, 974.25 and 638.37

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Solution

The fourth proportional to 709.92, 974.25 and 638.37 is: 876.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.92 : 974.25 = 638.37 : x
  2. Step 2: Convert to fraction form
    709.92/974.25 = 638.37/x
  3. Step 3: Cross multiply
    709.92x = 974.25 × 638.37
  4. Step 4: Simplify right side
    709.92x = 621,931.97
  5. Step 5: Solve for x
    x = 621,931.97/709.92
  6. Step 6: Final answer
    x = 876.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.