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Finding the Fourth Proportional to 1,205.72, 1,807.46 and 475.82

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Solution

The fourth proportional to 1,205.72, 1,807.46 and 475.82 is: 713.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.72 : 1,807.46 = 475.82 : x
  2. Step 2: Convert to fraction form
    1,205.72/1,807.46 = 475.82/x
  3. Step 3: Cross multiply
    1,205.72x = 1,807.46 × 475.82
  4. Step 4: Simplify right side
    1,205.72x = 860,025.62
  5. Step 5: Solve for x
    x = 860,025.62/1,205.72
  6. Step 6: Final answer
    x = 713.29

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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.