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Finding the Fourth Proportional to 1,432.75, 2,149.25 and 406.75

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Solution

The fourth proportional to 1,432.75, 2,149.25 and 406.75 is: 610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.75 : 2,149.25 = 406.75 : x
  2. Step 2: Convert to fraction form
    1,432.75/2,149.25 = 406.75/x
  3. Step 3: Cross multiply
    1,432.75x = 2,149.25 × 406.75
  4. Step 4: Simplify right side
    1,432.75x = 874,207.44
  5. Step 5: Solve for x
    x = 874,207.44/1,432.75
  6. Step 6: Final answer
    x = 610.16

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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.