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Finding the Fourth Proportional to 1,637.25, 2,452.59 and 813.03

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Solution

The fourth proportional to 1,637.25, 2,452.59 and 813.03 is: 1,217.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.25 : 2,452.59 = 813.03 : x
  2. Step 2: Convert to fraction form
    1,637.25/2,452.59 = 813.03/x
  3. Step 3: Cross multiply
    1,637.25x = 2,452.59 × 813.03
  4. Step 4: Simplify right side
    1,637.25x = 1,994,029.25
  5. Step 5: Solve for x
    x = 1,994,029.25/1,637.25
  6. Step 6: Final answer
    x = 1,217.91

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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.