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Finding the Fourth Proportional to 669.21, 1,001.97 and 463.29

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Solution

The fourth proportional to 669.21, 1,001.97 and 463.29 is: 693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.21 : 1,001.97 = 463.29 : x
  2. Step 2: Convert to fraction form
    669.21/1,001.97 = 463.29/x
  3. Step 3: Cross multiply
    669.21x = 1,001.97 × 463.29
  4. Step 4: Simplify right side
    669.21x = 464,202.68
  5. Step 5: Solve for x
    x = 464,202.68/669.21
  6. Step 6: Final answer
    x = 693.66

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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.