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Finding the Fourth Proportional to 1,604.32, 2,213.96 and 905.69

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Solution

The fourth proportional to 1,604.32, 2,213.96 and 905.69 is: 1,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.32 : 2,213.96 = 905.69 : x
  2. Step 2: Convert to fraction form
    1,604.32/2,213.96 = 905.69/x
  3. Step 3: Cross multiply
    1,604.32x = 2,213.96 × 905.69
  4. Step 4: Simplify right side
    1,604.32x = 2,005,156.90
  5. Step 5: Solve for x
    x = 2,005,156.90/1,604.32
  6. Step 6: Final answer
    x = 1,249.85

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.