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Finding the Fourth Proportional to 819.69, 1,229.54 and 675.11

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Solution

The fourth proportional to 819.69, 1,229.54 and 675.11 is: 1,012.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.69 : 1,229.54 = 675.11 : x
  2. Step 2: Convert to fraction form
    819.69/1,229.54 = 675.11/x
  3. Step 3: Cross multiply
    819.69x = 1,229.54 × 675.11
  4. Step 4: Simplify right side
    819.69x = 830,065.23
  5. Step 5: Solve for x
    x = 830,065.23/819.69
  6. Step 6: Final answer
    x = 1,012.66

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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.