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Finding the Fourth Proportional to 1,600.20, 2,400.66 and 504.68

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Solution

The fourth proportional to 1,600.20, 2,400.66 and 504.68 is: 757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,600.20 : 2,400.66 = 504.68 : x
  2. Step 2: Convert to fraction form
    1,600.20/2,400.66 = 504.68/x
  3. Step 3: Cross multiply
    1,600.20x = 2,400.66 × 504.68
  4. Step 4: Simplify right side
    1,600.20x = 1,211,553.09
  5. Step 5: Solve for x
    x = 1,211,553.09/1,600.20
  6. Step 6: Final answer
    x = 757.13

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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.