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Finding the Fourth Proportional to 731.51, 1,097.25 and 439.09

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Solution

The fourth proportional to 731.51, 1,097.25 and 439.09 is: 658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.51 : 1,097.25 = 439.09 : x
  2. Step 2: Convert to fraction form
    731.51/1,097.25 = 439.09/x
  3. Step 3: Cross multiply
    731.51x = 1,097.25 × 439.09
  4. Step 4: Simplify right side
    731.51x = 481,791.50
  5. Step 5: Solve for x
    x = 481,791.50/731.51
  6. Step 6: Final answer
    x = 658.63

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1.5x scale

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.