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Finding the Fourth Proportional to 677.85, 1,017.29 and 267.09

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Solution

The fourth proportional to 677.85, 1,017.29 and 267.09 is: 400.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.85 : 1,017.29 = 267.09 : x
  2. Step 2: Convert to fraction form
    677.85/1,017.29 = 267.09/x
  3. Step 3: Cross multiply
    677.85x = 1,017.29 × 267.09
  4. Step 4: Simplify right side
    677.85x = 271,707.99
  5. Step 5: Solve for x
    x = 271,707.99/677.85
  6. Step 6: Final answer
    x = 400.84

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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.