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Finding the Fourth Proportional to 1,635, 2,452.52 and 813.09

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Solution

The fourth proportional to 1,635, 2,452.52 and 813.09 is: 1,219.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635 : 2,452.52 = 813.09 : x
  2. Step 2: Convert to fraction form
    1,635/2,452.52 = 813.09/x
  3. Step 3: Cross multiply
    1,635x = 2,452.52 × 813.09
  4. Step 4: Simplify right side
    1,635x = 1,994,115.42
  5. Step 5: Solve for x
    x = 1,994,115.42/1,635
  6. Step 6: Final answer
    x = 1,219.64

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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.