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Finding the Fourth Proportional to 951.72, 1,428.78 and 664.68

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Solution

The fourth proportional to 951.72, 1,428.78 and 664.68 is: 997.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.72 : 1,428.78 = 664.68 : x
  2. Step 2: Convert to fraction form
    951.72/1,428.78 = 664.68/x
  3. Step 3: Cross multiply
    951.72x = 1,428.78 × 664.68
  4. Step 4: Simplify right side
    951.72x = 949,681.49
  5. Step 5: Solve for x
    x = 949,681.49/951.72
  6. Step 6: Final answer
    x = 997.86

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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.