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Finding the Fourth Proportional to 968.22, 1,450.65 and 505.29

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Solution

The fourth proportional to 968.22, 1,450.65 and 505.29 is: 757.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.22 : 1,450.65 = 505.29 : x
  2. Step 2: Convert to fraction form
    968.22/1,450.65 = 505.29/x
  3. Step 3: Cross multiply
    968.22x = 1,450.65 × 505.29
  4. Step 4: Simplify right side
    968.22x = 732,998.94
  5. Step 5: Solve for x
    x = 732,998.94/968.22
  6. Step 6: Final answer
    x = 757.06

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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.