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Finding the Fourth Proportional to 891.83, 1,338.05 and 404.55

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Solution

The fourth proportional to 891.83, 1,338.05 and 404.55 is: 606.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.83 : 1,338.05 = 404.55 : x
  2. Step 2: Convert to fraction form
    891.83/1,338.05 = 404.55/x
  3. Step 3: Cross multiply
    891.83x = 1,338.05 × 404.55
  4. Step 4: Simplify right side
    891.83x = 541,309.14
  5. Step 5: Solve for x
    x = 541,309.14/891.83
  6. Step 6: Final answer
    x = 606.96

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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.