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Finding the Fourth Proportional to 867.41, 1,300.51 and 731.33

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Solution

The fourth proportional to 867.41, 1,300.51 and 731.33 is: 1,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.41 : 1,300.51 = 731.33 : x
  2. Step 2: Convert to fraction form
    867.41/1,300.51 = 731.33/x
  3. Step 3: Cross multiply
    867.41x = 1,300.51 × 731.33
  4. Step 4: Simplify right side
    867.41x = 951,105.23
  5. Step 5: Solve for x
    x = 951,105.23/867.41
  6. Step 6: Final answer
    x = 1,096.49

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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.