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Finding the Fourth Proportional to 938.98, 1,409.38 and 574.48

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Solution

The fourth proportional to 938.98, 1,409.38 and 574.48 is: 862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.98 : 1,409.38 = 574.48 : x
  2. Step 2: Convert to fraction form
    938.98/1,409.38 = 574.48/x
  3. Step 3: Cross multiply
    938.98x = 1,409.38 × 574.48
  4. Step 4: Simplify right side
    938.98x = 809,660.62
  5. Step 5: Solve for x
    x = 809,660.62/938.98
  6. Step 6: Final answer
    x = 862.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.