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Finding the Fourth Proportional to 824.68, 1,236.96 and 499.96

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Solution

The fourth proportional to 824.68, 1,236.96 and 499.96 is: 749.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.68 : 1,236.96 = 499.96 : x
  2. Step 2: Convert to fraction form
    824.68/1,236.96 = 499.96/x
  3. Step 3: Cross multiply
    824.68x = 1,236.96 × 499.96
  4. Step 4: Simplify right side
    824.68x = 618,430.52
  5. Step 5: Solve for x
    x = 618,430.52/824.68
  6. Step 6: Final answer
    x = 749.90

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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.