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Finding the Fourth Proportional to 878.73, 1,318.10 and 513.63

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Solution

The fourth proportional to 878.73, 1,318.10 and 513.63 is: 770.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.73 : 1,318.10 = 513.63 : x
  2. Step 2: Convert to fraction form
    878.73/1,318.10 = 513.63/x
  3. Step 3: Cross multiply
    878.73x = 1,318.10 × 513.63
  4. Step 4: Simplify right side
    878.73x = 677,013.13
  5. Step 5: Solve for x
    x = 677,013.13/878.73
  6. Step 6: Final answer
    x = 770.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.