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Finding the Fourth Proportional to 878.92, 1,213.07 and 505.87

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Solution

The fourth proportional to 878.92, 1,213.07 and 505.87 is: 698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.92 : 1,213.07 = 505.87 : x
  2. Step 2: Convert to fraction form
    878.92/1,213.07 = 505.87/x
  3. Step 3: Cross multiply
    878.92x = 1,213.07 × 505.87
  4. Step 4: Simplify right side
    878.92x = 613,655.72
  5. Step 5: Solve for x
    x = 613,655.72/878.92
  6. Step 6: Final answer
    x = 698.19

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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.