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Finding the Fourth Proportional to 976.73, 1,464.29 and 456.47

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Solution

The fourth proportional to 976.73, 1,464.29 and 456.47 is: 684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.73 : 1,464.29 = 456.47 : x
  2. Step 2: Convert to fraction form
    976.73/1,464.29 = 456.47/x
  3. Step 3: Cross multiply
    976.73x = 1,464.29 × 456.47
  4. Step 4: Simplify right side
    976.73x = 668,412.86
  5. Step 5: Solve for x
    x = 668,412.86/976.73
  6. Step 6: Final answer
    x = 684.34

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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.