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Finding the Fourth Proportional to 667.55, 999.03 and 460.73

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Solution

The fourth proportional to 667.55, 999.03 and 460.73 is: 689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.55 : 999.03 = 460.73 : x
  2. Step 2: Convert to fraction form
    667.55/999.03 = 460.73/x
  3. Step 3: Cross multiply
    667.55x = 999.03 × 460.73
  4. Step 4: Simplify right side
    667.55x = 460,283.09
  5. Step 5: Solve for x
    x = 460,283.09/667.55
  6. Step 6: Final answer
    x = 689.51

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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.