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Finding the Fourth Proportional to 1,172.84, 1,617.30 and 819.08

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Solution

The fourth proportional to 1,172.84, 1,617.30 and 819.08 is: 1,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.84 : 1,617.30 = 819.08 : x
  2. Step 2: Convert to fraction form
    1,172.84/1,617.30 = 819.08/x
  3. Step 3: Cross multiply
    1,172.84x = 1,617.30 × 819.08
  4. Step 4: Simplify right side
    1,172.84x = 1,324,698.08
  5. Step 5: Solve for x
    x = 1,324,698.08/1,172.84
  6. Step 6: Final answer
    x = 1,129.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.