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Finding the Fourth Proportional to 976.14, 1,462.16 and 456.58

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Solution

The fourth proportional to 976.14, 1,462.16 and 456.58 is: 683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.14 : 1,462.16 = 456.58 : x
  2. Step 2: Convert to fraction form
    976.14/1,462.16 = 456.58/x
  3. Step 3: Cross multiply
    976.14x = 1,462.16 × 456.58
  4. Step 4: Simplify right side
    976.14x = 667,593.01
  5. Step 5: Solve for x
    x = 667,593.01/976.14
  6. Step 6: Final answer
    x = 683.91

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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.