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Finding the Fourth Proportional to 1,089.60, 1,634.39 and 267.88

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Solution

The fourth proportional to 1,089.60, 1,634.39 and 267.88 is: 401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.60 : 1,634.39 = 267.88 : x
  2. Step 2: Convert to fraction form
    1,089.60/1,634.39 = 267.88/x
  3. Step 3: Cross multiply
    1,089.60x = 1,634.39 × 267.88
  4. Step 4: Simplify right side
    1,089.60x = 437,820.01
  5. Step 5: Solve for x
    x = 437,820.01/1,089.60
  6. Step 6: Final answer
    x = 401.82

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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.