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Finding the Fourth Proportional to 678.13, 1,016.51 and 267.04

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Solution

The fourth proportional to 678.13, 1,016.51 and 267.04 is: 400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.13 : 1,016.51 = 267.04 : x
  2. Step 2: Convert to fraction form
    678.13/1,016.51 = 267.04/x
  3. Step 3: Cross multiply
    678.13x = 1,016.51 × 267.04
  4. Step 4: Simplify right side
    678.13x = 271,448.83
  5. Step 5: Solve for x
    x = 271,448.83/678.13
  6. Step 6: Final answer
    x = 400.29

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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.