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Finding the Fourth Proportional to 976.86, 1,464.89 and 428.83

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Solution

The fourth proportional to 976.86, 1,464.89 and 428.83 is: 643.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.86 : 1,464.89 = 428.83 : x
  2. Step 2: Convert to fraction form
    976.86/1,464.89 = 428.83/x
  3. Step 3: Cross multiply
    976.86x = 1,464.89 × 428.83
  4. Step 4: Simplify right side
    976.86x = 628,182.97
  5. Step 5: Solve for x
    x = 628,182.97/976.86
  6. Step 6: Final answer
    x = 643.06

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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.