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Finding the Fourth Proportional to 1,608.76, 2,414.65 and 829.30

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Solution

The fourth proportional to 1,608.76, 2,414.65 and 829.30 is: 1,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.76 : 2,414.65 = 829.30 : x
  2. Step 2: Convert to fraction form
    1,608.76/2,414.65 = 829.30/x
  3. Step 3: Cross multiply
    1,608.76x = 2,414.65 × 829.30
  4. Step 4: Simplify right side
    1,608.76x = 2,002,469.25
  5. Step 5: Solve for x
    x = 2,002,469.25/1,608.76
  6. Step 6: Final answer
    x = 1,244.73

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1.5x scale

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.