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Finding the Fourth Proportional to 976.48, 1,464.39 and 746.86

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Solution

The fourth proportional to 976.48, 1,464.39 and 746.86 is: 1,120.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.48 : 1,464.39 = 746.86 : x
  2. Step 2: Convert to fraction form
    976.48/1,464.39 = 746.86/x
  3. Step 3: Cross multiply
    976.48x = 1,464.39 × 746.86
  4. Step 4: Simplify right side
    976.48x = 1,093,694.32
  5. Step 5: Solve for x
    x = 1,093,694.32/976.48
  6. Step 6: Final answer
    x = 1,120.04

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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.