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Finding the Fourth Proportional to 824.87, 1,236.91 and 478.30

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Solution

The fourth proportional to 824.87, 1,236.91 and 478.30 is: 717.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.87 : 1,236.91 = 478.30 : x
  2. Step 2: Convert to fraction form
    824.87/1,236.91 = 478.30/x
  3. Step 3: Cross multiply
    824.87x = 1,236.91 × 478.30
  4. Step 4: Simplify right side
    824.87x = 591,613.70
  5. Step 5: Solve for x
    x = 591,613.70/824.87
  6. Step 6: Final answer
    x = 717.22

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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.