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Finding the Fourth Proportional to 1,205.87, 1,809.21 and 475.05

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Solution

The fourth proportional to 1,205.87, 1,809.21 and 475.05 is: 712.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.87 : 1,809.21 = 475.05 : x
  2. Step 2: Convert to fraction form
    1,205.87/1,809.21 = 475.05/x
  3. Step 3: Cross multiply
    1,205.87x = 1,809.21 × 475.05
  4. Step 4: Simplify right side
    1,205.87x = 859,465.21
  5. Step 5: Solve for x
    x = 859,465.21/1,205.87
  6. Step 6: Final answer
    x = 712.73

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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.