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Finding the Fourth Proportional to 878.42, 1,317.20 and 513.32

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Solution

The fourth proportional to 878.42, 1,317.20 and 513.32 is: 769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.42 : 1,317.20 = 513.32 : x
  2. Step 2: Convert to fraction form
    878.42/1,317.20 = 513.32/x
  3. Step 3: Cross multiply
    878.42x = 1,317.20 × 513.32
  4. Step 4: Simplify right side
    878.42x = 676,145.10
  5. Step 5: Solve for x
    x = 676,145.10/878.42
  6. Step 6: Final answer
    x = 769.73

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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.