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Finding the Fourth Proportional to 731.39, 1,096.54 and 380.21

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Solution

The fourth proportional to 731.39, 1,096.54 and 380.21 is: 570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.39 : 1,096.54 = 380.21 : x
  2. Step 2: Convert to fraction form
    731.39/1,096.54 = 380.21/x
  3. Step 3: Cross multiply
    731.39x = 1,096.54 × 380.21
  4. Step 4: Simplify right side
    731.39x = 416,909.04
  5. Step 5: Solve for x
    x = 416,909.04/731.39
  6. Step 6: Final answer
    x = 570.03

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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.