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Finding the Fourth Proportional to 878.56, 1,212.42 and 583.84

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Solution

The fourth proportional to 878.56, 1,212.42 and 583.84 is: 805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.56 : 1,212.42 = 583.84 : x
  2. Step 2: Convert to fraction form
    878.56/1,212.42 = 583.84/x
  3. Step 3: Cross multiply
    878.56x = 1,212.42 × 583.84
  4. Step 4: Simplify right side
    878.56x = 707,859.29
  5. Step 5: Solve for x
    x = 707,859.29/878.56
  6. Step 6: Final answer
    x = 805.70

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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.