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Finding the Fourth Proportional to 878.76, 1,213.20 and 529.56

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Solution

The fourth proportional to 878.76, 1,213.20 and 529.56 is: 731.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.76 : 1,213.20 = 529.56 : x
  2. Step 2: Convert to fraction form
    878.76/1,213.20 = 529.56/x
  3. Step 3: Cross multiply
    878.76x = 1,213.20 × 529.56
  4. Step 4: Simplify right side
    878.76x = 642,462.19
  5. Step 5: Solve for x
    x = 642,462.19/878.76
  6. Step 6: Final answer
    x = 731.10

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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.