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Finding the Fourth Proportional to 878.92, 1,316.22 and 512.60

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Solution

The fourth proportional to 878.92, 1,316.22 and 512.60 is: 767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.92 : 1,316.22 = 512.60 : x
  2. Step 2: Convert to fraction form
    878.92/1,316.22 = 512.60/x
  3. Step 3: Cross multiply
    878.92x = 1,316.22 × 512.60
  4. Step 4: Simplify right side
    878.92x = 674,685.87
  5. Step 5: Solve for x
    x = 674,685.87/878.92
  6. Step 6: Final answer
    x = 767.63

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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.