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Finding the Fourth Proportional to 976.13, 1,463.83 and 391.27

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Solution

The fourth proportional to 976.13, 1,463.83 and 391.27 is: 586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.13 : 1,463.83 = 391.27 : x
  2. Step 2: Convert to fraction form
    976.13/1,463.83 = 391.27/x
  3. Step 3: Cross multiply
    976.13x = 1,463.83 × 391.27
  4. Step 4: Simplify right side
    976.13x = 572,752.76
  5. Step 5: Solve for x
    x = 572,752.76/976.13
  6. Step 6: Final answer
    x = 586.76

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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.