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Finding the Fourth Proportional to 878.00, 1,316.99 and 824.54

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Solution

The fourth proportional to 878.00, 1,316.99 and 824.54 is: 1,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.00 : 1,316.99 = 824.54 : x
  2. Step 2: Convert to fraction form
    878.00/1,316.99 = 824.54/x
  3. Step 3: Cross multiply
    878.00x = 1,316.99 × 824.54
  4. Step 4: Simplify right side
    878.00x = 1,085,906.41
  5. Step 5: Solve for x
    x = 1,085,906.41/878.00
  6. Step 6: Final answer
    x = 1,236.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.