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Finding the Fourth Proportional to 968.22, 1,450.89 and 642.42

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Solution

The fourth proportional to 968.22, 1,450.89 and 642.42 is: 962.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.22 : 1,450.89 = 642.42 : x
  2. Step 2: Convert to fraction form
    968.22/1,450.89 = 642.42/x
  3. Step 3: Cross multiply
    968.22x = 1,450.89 × 642.42
  4. Step 4: Simplify right side
    968.22x = 932,080.75
  5. Step 5: Solve for x
    x = 932,080.75/968.22
  6. Step 6: Final answer
    x = 962.67

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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.