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Finding the Fourth Proportional to 976.48, 1,464.73 and 428.55

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Solution

The fourth proportional to 976.48, 1,464.73 and 428.55 is: 642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.48 : 1,464.73 = 428.55 : x
  2. Step 2: Convert to fraction form
    976.48/1,464.73 = 428.55/x
  3. Step 3: Cross multiply
    976.48x = 1,464.73 × 428.55
  4. Step 4: Simplify right side
    976.48x = 627,710.04
  5. Step 5: Solve for x
    x = 627,710.04/976.48
  6. Step 6: Final answer
    x = 642.83

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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.