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Finding the Fourth Proportional to 976.81, 1,464.42 and 428.58

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Solution

The fourth proportional to 976.81, 1,464.42 and 428.58 is: 642.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.81 : 1,464.42 = 428.58 : x
  2. Step 2: Convert to fraction form
    976.81/1,464.42 = 428.58/x
  3. Step 3: Cross multiply
    976.81x = 1,464.42 × 428.58
  4. Step 4: Simplify right side
    976.81x = 627,621.12
  5. Step 5: Solve for x
    x = 627,621.12/976.81
  6. Step 6: Final answer
    x = 642.52

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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.