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Finding the Fourth Proportional to 1,089.93, 1,634.72 and 320.25

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Solution

The fourth proportional to 1,089.93, 1,634.72 and 320.25 is: 480.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.93 : 1,634.72 = 320.25 : x
  2. Step 2: Convert to fraction form
    1,089.93/1,634.72 = 320.25/x
  3. Step 3: Cross multiply
    1,089.93x = 1,634.72 × 320.25
  4. Step 4: Simplify right side
    1,089.93x = 523,517.48
  5. Step 5: Solve for x
    x = 523,517.48/1,089.93
  6. Step 6: Final answer
    x = 480.32

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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.