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Finding the Fourth Proportional to 976.44, 1,464.66 and 456.27

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Solution

The fourth proportional to 976.44, 1,464.66 and 456.27 is: 684.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.44 : 1,464.66 = 456.27 : x
  2. Step 2: Convert to fraction form
    976.44/1,464.66 = 456.27/x
  3. Step 3: Cross multiply
    976.44x = 1,464.66 × 456.27
  4. Step 4: Simplify right side
    976.44x = 668,280.42
  5. Step 5: Solve for x
    x = 668,280.42/976.44
  6. Step 6: Final answer
    x = 684.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.