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Finding the Fourth Proportional to 678.12, 1,016.10 and 512.88

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Solution

The fourth proportional to 678.12, 1,016.10 and 512.88 is: 768.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.12 : 1,016.10 = 512.88 : x
  2. Step 2: Convert to fraction form
    678.12/1,016.10 = 512.88/x
  3. Step 3: Cross multiply
    678.12x = 1,016.10 × 512.88
  4. Step 4: Simplify right side
    678.12x = 521,137.37
  5. Step 5: Solve for x
    x = 521,137.37/678.12
  6. Step 6: Final answer
    x = 768.50

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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.