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Finding the Fourth Proportional to 731.64, 1,097.91 and 385.23

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Solution

The fourth proportional to 731.64, 1,097.91 and 385.23 is: 578.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.64 : 1,097.91 = 385.23 : x
  2. Step 2: Convert to fraction form
    731.64/1,097.91 = 385.23/x
  3. Step 3: Cross multiply
    731.64x = 1,097.91 × 385.23
  4. Step 4: Simplify right side
    731.64x = 422,942.38
  5. Step 5: Solve for x
    x = 422,942.38/731.64
  6. Step 6: Final answer
    x = 578.07

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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.