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Finding the Fourth Proportional to 1,205.73, 1,807.77 and 475.11

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Solution

The fourth proportional to 1,205.73, 1,807.77 and 475.11 is: 712.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.73 : 1,807.77 = 475.11 : x
  2. Step 2: Convert to fraction form
    1,205.73/1,807.77 = 475.11/x
  3. Step 3: Cross multiply
    1,205.73x = 1,807.77 × 475.11
  4. Step 4: Simplify right side
    1,205.73x = 858,889.60
  5. Step 5: Solve for x
    x = 858,889.60/1,205.73
  6. Step 6: Final answer
    x = 712.34

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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.