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Finding the Fourth Proportional to 678.14, 1,016.44 and 267.06

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Solution

The fourth proportional to 678.14, 1,016.44 and 267.06 is: 400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.14 : 1,016.44 = 267.06 : x
  2. Step 2: Convert to fraction form
    678.14/1,016.44 = 267.06/x
  3. Step 3: Cross multiply
    678.14x = 1,016.44 × 267.06
  4. Step 4: Simplify right side
    678.14x = 271,449.80
  5. Step 5: Solve for x
    x = 271,449.80/678.14
  6. Step 6: Final answer
    x = 400.29

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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.