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Finding the Fourth Proportional to 976.36, 1,464.30 and 455.86

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Solution

The fourth proportional to 976.36, 1,464.30 and 455.86 is: 683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.36 : 1,464.30 = 455.86 : x
  2. Step 2: Convert to fraction form
    976.36/1,464.30 = 455.86/x
  3. Step 3: Cross multiply
    976.36x = 1,464.30 × 455.86
  4. Step 4: Simplify right side
    976.36x = 667,515.80
  5. Step 5: Solve for x
    x = 667,515.80/976.36
  6. Step 6: Final answer
    x = 683.68

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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.