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Finding the Fourth Proportional to 878.23, 1,317.35 and 513.12

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Solution

The fourth proportional to 878.23, 1,317.35 and 513.12 is: 769.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.23 : 1,317.35 = 513.12 : x
  2. Step 2: Convert to fraction form
    878.23/1,317.35 = 513.12/x
  3. Step 3: Cross multiply
    878.23x = 1,317.35 × 513.12
  4. Step 4: Simplify right side
    878.23x = 675,958.63
  5. Step 5: Solve for x
    x = 675,958.63/878.23
  6. Step 6: Final answer
    x = 769.68

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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.