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Finding the Fourth Proportional to 938.14, 1,295.04 and 644.92

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Solution

The fourth proportional to 938.14, 1,295.04 and 644.92 is: 890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.14 : 1,295.04 = 644.92 : x
  2. Step 2: Convert to fraction form
    938.14/1,295.04 = 644.92/x
  3. Step 3: Cross multiply
    938.14x = 1,295.04 × 644.92
  4. Step 4: Simplify right side
    938.14x = 835,197.20
  5. Step 5: Solve for x
    x = 835,197.20/938.14
  6. Step 6: Final answer
    x = 890.27

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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.