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Finding the Fourth Proportional to 876.82, 1,314.78 and 512.32

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Solution

The fourth proportional to 876.82, 1,314.78 and 512.32 is: 768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.82 : 1,314.78 = 512.32 : x
  2. Step 2: Convert to fraction form
    876.82/1,314.78 = 512.32/x
  3. Step 3: Cross multiply
    876.82x = 1,314.78 × 512.32
  4. Step 4: Simplify right side
    876.82x = 673,588.09
  5. Step 5: Solve for x
    x = 673,588.09/876.82
  6. Step 6: Final answer
    x = 768.22

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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.