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Finding the Fourth Proportional to 1,467.82, 2,201.76 and 427.90

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Solution

The fourth proportional to 1,467.82, 2,201.76 and 427.90 is: 641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.82 : 2,201.76 = 427.90 : x
  2. Step 2: Convert to fraction form
    1,467.82/2,201.76 = 427.90/x
  3. Step 3: Cross multiply
    1,467.82x = 2,201.76 × 427.90
  4. Step 4: Simplify right side
    1,467.82x = 942,133.10
  5. Step 5: Solve for x
    x = 942,133.10/1,467.82
  6. Step 6: Final answer
    x = 641.86

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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.