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Finding the Fourth Proportional to 824.21, 1,236.45 and 391.13

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Solution

The fourth proportional to 824.21, 1,236.45 and 391.13 is: 586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.21 : 1,236.45 = 391.13 : x
  2. Step 2: Convert to fraction form
    824.21/1,236.45 = 391.13/x
  3. Step 3: Cross multiply
    824.21x = 1,236.45 × 391.13
  4. Step 4: Simplify right side
    824.21x = 483,612.69
  5. Step 5: Solve for x
    x = 483,612.69/824.21
  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.