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Finding the Fourth Proportional to 1,600.76, 2,208.12 and 1,206.56

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Solution

The fourth proportional to 1,600.76, 2,208.12 and 1,206.56 is: 1,664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.76 : 2,208.12 = 1,206.56 : x
  2. Step 2: Convert to fraction form
    1,600.76/2,208.12 = 1,206.56/x
  3. Step 3: Cross multiply
    1,600.76x = 2,208.12 × 1,206.56
  4. Step 4: Simplify right side
    1,600.76x = 2,664,229.27
  5. Step 5: Solve for x
    x = 2,664,229.27/1,600.76
  6. Step 6: Final answer
    x = 1,664.35

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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.