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Finding the Fourth Proportional to 878.96, 1,213.26 and 529.68

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Solution

The fourth proportional to 878.96, 1,213.26 and 529.68 is: 731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.96 : 1,213.26 = 529.68 : x
  2. Step 2: Convert to fraction form
    878.96/1,213.26 = 529.68/x
  3. Step 3: Cross multiply
    878.96x = 1,213.26 × 529.68
  4. Step 4: Simplify right side
    878.96x = 642,639.56
  5. Step 5: Solve for x
    x = 642,639.56/878.96
  6. Step 6: Final answer
    x = 731.14

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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.