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Finding the Fourth Proportional to 731.42, 1,008.24 and 583.82

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Solution

The fourth proportional to 731.42, 1,008.24 and 583.82 is: 804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.42 : 1,008.24 = 583.82 : x
  2. Step 2: Convert to fraction form
    731.42/1,008.24 = 583.82/x
  3. Step 3: Cross multiply
    731.42x = 1,008.24 × 583.82
  4. Step 4: Simplify right side
    731.42x = 588,630.68
  5. Step 5: Solve for x
    x = 588,630.68/731.42
  6. Step 6: Final answer
    x = 804.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.