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Finding the Fourth Proportional to 878.90, 1,212.72 and 564.22

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Solution

The fourth proportional to 878.90, 1,212.72 and 564.22 is: 778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.90 : 1,212.72 = 564.22 : x
  2. Step 2: Convert to fraction form
    878.90/1,212.72 = 564.22/x
  3. Step 3: Cross multiply
    878.90x = 1,212.72 × 564.22
  4. Step 4: Simplify right side
    878.90x = 684,240.88
  5. Step 5: Solve for x
    x = 684,240.88/878.90
  6. Step 6: Final answer
    x = 778.52

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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.