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Finding the Fourth Proportional to 1,089.45, 1,634.51 and 396.45

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Solution

The fourth proportional to 1,089.45, 1,634.51 and 396.45 is: 594.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.45 : 1,634.51 = 396.45 : x
  2. Step 2: Convert to fraction form
    1,089.45/1,634.51 = 396.45/x
  3. Step 3: Cross multiply
    1,089.45x = 1,634.51 × 396.45
  4. Step 4: Simplify right side
    1,089.45x = 647,999.51
  5. Step 5: Solve for x
    x = 647,999.51/1,089.45
  6. Step 6: Final answer
    x = 594.80

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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.