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Finding the Fourth Proportional to 1,620.05, 2,428.59 and 523.85

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Solution

The fourth proportional to 1,620.05, 2,428.59 and 523.85 is: 785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.05 : 2,428.59 = 523.85 : x
  2. Step 2: Convert to fraction form
    1,620.05/2,428.59 = 523.85/x
  3. Step 3: Cross multiply
    1,620.05x = 2,428.59 × 523.85
  4. Step 4: Simplify right side
    1,620.05x = 1,272,216.87
  5. Step 5: Solve for x
    x = 1,272,216.87/1,620.05
  6. Step 6: Final answer
    x = 785.29

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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.