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Finding the Fourth Proportional to 968.43, 1,450.25 and 906.92

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Solution

The fourth proportional to 968.43, 1,450.25 and 906.92 is: 1,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.43 : 1,450.25 = 906.92 : x
  2. Step 2: Convert to fraction form
    968.43/1,450.25 = 906.92/x
  3. Step 3: Cross multiply
    968.43x = 1,450.25 × 906.92
  4. Step 4: Simplify right side
    968.43x = 1,315,266.96
  5. Step 5: Solve for x
    x = 1,315,266.96/968.43
  6. Step 6: Final answer
    x = 1,358.14

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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.