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Finding the Fourth Proportional to 878.86, 1,212.45 and 564.02

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Solution

The fourth proportional to 878.86, 1,212.45 and 564.02 is: 778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.86 : 1,212.45 = 564.02 : x
  2. Step 2: Convert to fraction form
    878.86/1,212.45 = 564.02/x
  3. Step 3: Cross multiply
    878.86x = 1,212.45 × 564.02
  4. Step 4: Simplify right side
    878.86x = 683,846.05
  5. Step 5: Solve for x
    x = 683,846.05/878.86
  6. Step 6: Final answer
    x = 778.11

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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.