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Finding the Fourth Proportional to 824.74, 1,236.51 and 500.05

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Solution

The fourth proportional to 824.74, 1,236.51 and 500.05 is: 749.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.74 : 1,236.51 = 500.05 : x
  2. Step 2: Convert to fraction form
    824.74/1,236.51 = 500.05/x
  3. Step 3: Cross multiply
    824.74x = 1,236.51 × 500.05
  4. Step 4: Simplify right side
    824.74x = 618,316.83
  5. Step 5: Solve for x
    x = 618,316.83/824.74
  6. Step 6: Final answer
    x = 749.71

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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.