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Finding the Fourth Proportional to 1,594.92, 2,200.97 and 896.30

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Solution

The fourth proportional to 1,594.92, 2,200.97 and 896.30 is: 1,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.92 : 2,200.97 = 896.30 : x
  2. Step 2: Convert to fraction form
    1,594.92/2,200.97 = 896.30/x
  3. Step 3: Cross multiply
    1,594.92x = 2,200.97 × 896.30
  4. Step 4: Simplify right side
    1,594.92x = 1,972,713.92
  5. Step 5: Solve for x
    x = 1,972,713.92/1,594.92
  6. Step 6: Final answer
    x = 1,236.87

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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.