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Finding the Fourth Proportional to 878.90, 1,212.86 and 505.87

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Solution

The fourth proportional to 878.90, 1,212.86 and 505.87 is: 698.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.90 : 1,212.86 = 505.87 : x
  2. Step 2: Convert to fraction form
    878.90/1,212.86 = 505.87/x
  3. Step 3: Cross multiply
    878.90x = 1,212.86 × 505.87
  4. Step 4: Simplify right side
    878.90x = 613,549.49
  5. Step 5: Solve for x
    x = 613,549.49/878.90
  6. Step 6: Final answer
    x = 698.09

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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.