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Finding the Fourth Proportional to 1,204.68, 1,802.16 and 819.12

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Solution

The fourth proportional to 1,204.68, 1,802.16 and 819.12 is: 1,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.68 : 1,802.16 = 819.12 : x
  2. Step 2: Convert to fraction form
    1,204.68/1,802.16 = 819.12/x
  3. Step 3: Cross multiply
    1,204.68x = 1,802.16 × 819.12
  4. Step 4: Simplify right side
    1,204.68x = 1,476,185.30
  5. Step 5: Solve for x
    x = 1,476,185.30/1,204.68
  6. Step 6: Final answer
    x = 1,225.38

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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.