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Finding the Fourth Proportional to 1,089.52, 1,634.24 and 395.86

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Solution

The fourth proportional to 1,089.52, 1,634.24 and 395.86 is: 593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.52 : 1,634.24 = 395.86 : x
  2. Step 2: Convert to fraction form
    1,089.52/1,634.24 = 395.86/x
  3. Step 3: Cross multiply
    1,089.52x = 1,634.24 × 395.86
  4. Step 4: Simplify right side
    1,089.52x = 646,930.25
  5. Step 5: Solve for x
    x = 646,930.25/1,089.52
  6. Step 6: Final answer
    x = 593.78

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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.