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Finding the Fourth Proportional to 1,025.45, 1,537.79 and 408.97

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Solution

The fourth proportional to 1,025.45, 1,537.79 and 408.97 is: 613.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.45 : 1,537.79 = 408.97 : x
  2. Step 2: Convert to fraction form
    1,025.45/1,537.79 = 408.97/x
  3. Step 3: Cross multiply
    1,025.45x = 1,537.79 × 408.97
  4. Step 4: Simplify right side
    1,025.45x = 628,901.26
  5. Step 5: Solve for x
    x = 628,901.26/1,025.45
  6. Step 6: Final answer
    x = 613.30

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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.