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Finding the Fourth Proportional to 967.26, 1,449.21 and 602.31

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Solution

The fourth proportional to 967.26, 1,449.21 and 602.31 is: 902.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.26 : 1,449.21 = 602.31 : x
  2. Step 2: Convert to fraction form
    967.26/1,449.21 = 602.31/x
  3. Step 3: Cross multiply
    967.26x = 1,449.21 × 602.31
  4. Step 4: Simplify right side
    967.26x = 872,873.68
  5. Step 5: Solve for x
    x = 872,873.68/967.26
  6. Step 6: Final answer
    x = 902.42

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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.