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Finding the Fourth Proportional to 1,025.75, 1,538.63 and 409.29

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Solution

The fourth proportional to 1,025.75, 1,538.63 and 409.29 is: 613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.75 : 1,538.63 = 409.29 : x
  2. Step 2: Convert to fraction form
    1,025.75/1,538.63 = 409.29/x
  3. Step 3: Cross multiply
    1,025.75x = 1,538.63 × 409.29
  4. Step 4: Simplify right side
    1,025.75x = 629,743.83
  5. Step 5: Solve for x
    x = 629,743.83/1,025.75
  6. Step 6: Final answer
    x = 613.94

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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.