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Finding the Fourth Proportional to 967.92, 1,452.12 and 390.96

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Solution

The fourth proportional to 967.92, 1,452.12 and 390.96 is: 586.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.92 : 1,452.12 = 390.96 : x
  2. Step 2: Convert to fraction form
    967.92/1,452.12 = 390.96/x
  3. Step 3: Cross multiply
    967.92x = 1,452.12 × 390.96
  4. Step 4: Simplify right side
    967.92x = 567,720.84
  5. Step 5: Solve for x
    x = 567,720.84/967.92
  6. Step 6: Final answer
    x = 586.54

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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.