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Finding the Fourth Proportional to 968.16, 1,450.96 and 454.24

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Solution

The fourth proportional to 968.16, 1,450.96 and 454.24 is: 680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.16 : 1,450.96 = 454.24 : x
  2. Step 2: Convert to fraction form
    968.16/1,450.96 = 454.24/x
  3. Step 3: Cross multiply
    968.16x = 1,450.96 × 454.24
  4. Step 4: Simplify right side
    968.16x = 659,084.07
  5. Step 5: Solve for x
    x = 659,084.07/968.16
  6. Step 6: Final answer
    x = 680.76

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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.