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Finding the Fourth Proportional to 731.33, 1,009.26 and 447.80

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Solution

The fourth proportional to 731.33, 1,009.26 and 447.80 is: 617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.33 : 1,009.26 = 447.80 : x
  2. Step 2: Convert to fraction form
    731.33/1,009.26 = 447.80/x
  3. Step 3: Cross multiply
    731.33x = 1,009.26 × 447.80
  4. Step 4: Simplify right side
    731.33x = 451,946.63
  5. Step 5: Solve for x
    x = 451,946.63/731.33
  6. Step 6: Final answer
    x = 617.98

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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.