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Finding the Fourth Proportional to 878.37, 1,212.14 and 546.63

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Solution

The fourth proportional to 878.37, 1,212.14 and 546.63 is: 754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.37 : 1,212.14 = 546.63 : x
  2. Step 2: Convert to fraction form
    878.37/1,212.14 = 546.63/x
  3. Step 3: Cross multiply
    878.37x = 1,212.14 × 546.63
  4. Step 4: Simplify right side
    878.37x = 662,589.36
  5. Step 5: Solve for x
    x = 662,589.36/878.37
  6. Step 6: Final answer
    x = 754.34

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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.