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Finding the Fourth Proportional to 878.67, 1,212.15 and 580.23

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Solution

The fourth proportional to 878.67, 1,212.15 and 580.23 is: 800.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.67 : 1,212.15 = 580.23 : x
  2. Step 2: Convert to fraction form
    878.67/1,212.15 = 580.23/x
  3. Step 3: Cross multiply
    878.67x = 1,212.15 × 580.23
  4. Step 4: Simplify right side
    878.67x = 703,325.79
  5. Step 5: Solve for x
    x = 703,325.79/878.67
  6. Step 6: Final answer
    x = 800.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.