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Finding the Fourth Proportional to 1,469.66, 2,204.53 and 738.83

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Solution

The fourth proportional to 1,469.66, 2,204.53 and 738.83 is: 1,108.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.66 : 2,204.53 = 738.83 : x
  2. Step 2: Convert to fraction form
    1,469.66/2,204.53 = 738.83/x
  3. Step 3: Cross multiply
    1,469.66x = 2,204.53 × 738.83
  4. Step 4: Simplify right side
    1,469.66x = 1,628,776.56
  5. Step 5: Solve for x
    x = 1,628,776.56/1,469.66
  6. Step 6: Final answer
    x = 1,108.27

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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.