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Finding the Fourth Proportional to 878.59, 1,212.60 and 564.31

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Solution

The fourth proportional to 878.59, 1,212.60 and 564.31 is: 778.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.59 : 1,212.60 = 564.31 : x
  2. Step 2: Convert to fraction form
    878.59/1,212.60 = 564.31/x
  3. Step 3: Cross multiply
    878.59x = 1,212.60 × 564.31
  4. Step 4: Simplify right side
    878.59x = 684,282.31
  5. Step 5: Solve for x
    x = 684,282.31/878.59
  6. Step 6: Final answer
    x = 778.84

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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.