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Finding the Fourth Proportional to 669.42, 1,003.09 and 464.39

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Solution

The fourth proportional to 669.42, 1,003.09 and 464.39 is: 695.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.42 : 1,003.09 = 464.39 : x
  2. Step 2: Convert to fraction form
    669.42/1,003.09 = 464.39/x
  3. Step 3: Cross multiply
    669.42x = 1,003.09 × 464.39
  4. Step 4: Simplify right side
    669.42x = 465,824.97
  5. Step 5: Solve for x
    x = 465,824.97/669.42
  6. Step 6: Final answer
    x = 695.86

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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.