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Finding the Fourth Proportional to 878.75, 1,212.69 and 568.79

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Solution

The fourth proportional to 878.75, 1,212.69 and 568.79 is: 784.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.75 : 1,212.69 = 568.79 : x
  2. Step 2: Convert to fraction form
    878.75/1,212.69 = 568.79/x
  3. Step 3: Cross multiply
    878.75x = 1,212.69 × 568.79
  4. Step 4: Simplify right side
    878.75x = 689,765.95
  5. Step 5: Solve for x
    x = 689,765.95/878.75
  6. Step 6: Final answer
    x = 784.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.