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Finding the Fourth Proportional to 878.19, 1,212.48 and 547.08

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Solution

The fourth proportional to 878.19, 1,212.48 and 547.08 is: 755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.19 : 1,212.48 = 547.08 : x
  2. Step 2: Convert to fraction form
    878.19/1,212.48 = 547.08/x
  3. Step 3: Cross multiply
    878.19x = 1,212.48 × 547.08
  4. Step 4: Simplify right side
    878.19x = 663,323.56
  5. Step 5: Solve for x
    x = 663,323.56/878.19
  6. Step 6: Final answer
    x = 755.33

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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.