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Finding the Fourth Proportional to 878.14, 1,316.67 and 512.74

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Solution

The fourth proportional to 878.14, 1,316.67 and 512.74 is: 768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.14 : 1,316.67 = 512.74 : x
  2. Step 2: Convert to fraction form
    878.14/1,316.67 = 512.74/x
  3. Step 3: Cross multiply
    878.14x = 1,316.67 × 512.74
  4. Step 4: Simplify right side
    878.14x = 675,109.38
  5. Step 5: Solve for x
    x = 675,109.38/878.14
  6. Step 6: Final answer
    x = 768.79

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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.