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Finding the Fourth Proportional to 1,467.46, 2,201.58 and 645.92

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Solution

The fourth proportional to 1,467.46, 2,201.58 and 645.92 is: 969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.46 : 2,201.58 = 645.92 : x
  2. Step 2: Convert to fraction form
    1,467.46/2,201.58 = 645.92/x
  3. Step 3: Cross multiply
    1,467.46x = 2,201.58 × 645.92
  4. Step 4: Simplify right side
    1,467.46x = 1,422,044.55
  5. Step 5: Solve for x
    x = 1,422,044.55/1,467.46
  6. Step 6: Final answer
    x = 969.05

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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.