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Finding the Fourth Proportional to 731.79, 1,009.90 and 400.22

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Solution

The fourth proportional to 731.79, 1,009.90 and 400.22 is: 552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.79 : 1,009.90 = 400.22 : x
  2. Step 2: Convert to fraction form
    731.79/1,009.90 = 400.22/x
  3. Step 3: Cross multiply
    731.79x = 1,009.90 × 400.22
  4. Step 4: Simplify right side
    731.79x = 404,179.04
  5. Step 5: Solve for x
    x = 404,179.04/731.79
  6. Step 6: Final answer
    x = 552.31

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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.