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Finding the Fourth Proportional to 1,089.26, 1,634.25 and 440.42

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Solution

The fourth proportional to 1,089.26, 1,634.25 and 440.42 is: 660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.26 : 1,634.25 = 440.42 : x
  2. Step 2: Convert to fraction form
    1,089.26/1,634.25 = 440.42/x
  3. Step 3: Cross multiply
    1,089.26x = 1,634.25 × 440.42
  4. Step 4: Simplify right side
    1,089.26x = 719,756.39
  5. Step 5: Solve for x
    x = 719,756.39/1,089.26
  6. Step 6: Final answer
    x = 660.78

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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.