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Finding the Fourth Proportional to 878.85, 1,317.06 and 513.14

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Solution

The fourth proportional to 878.85, 1,317.06 and 513.14 is: 768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.85 : 1,317.06 = 513.14 : x
  2. Step 2: Convert to fraction form
    878.85/1,317.06 = 513.14/x
  3. Step 3: Cross multiply
    878.85x = 1,317.06 × 513.14
  4. Step 4: Simplify right side
    878.85x = 675,829.58
  5. Step 5: Solve for x
    x = 675,829.58/878.85
  6. Step 6: Final answer
    x = 768.99

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