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Finding the Fourth Proportional to 967.52, 1,450.56 and 582.68

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Solution

The fourth proportional to 967.52, 1,450.56 and 582.68 is: 873.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.52 : 1,450.56 = 582.68 : x
  2. Step 2: Convert to fraction form
    967.52/1,450.56 = 582.68/x
  3. Step 3: Cross multiply
    967.52x = 1,450.56 × 582.68
  4. Step 4: Simplify right side
    967.52x = 845,212.30
  5. Step 5: Solve for x
    x = 845,212.30/967.52
  6. Step 6: Final answer
    x = 873.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.