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Finding the Fourth Proportional to 731.71, 1,009.78 and 400.16

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Solution

The fourth proportional to 731.71, 1,009.78 and 400.16 is: 552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.71 : 1,009.78 = 400.16 : x
  2. Step 2: Convert to fraction form
    731.71/1,009.78 = 400.16/x
  3. Step 3: Cross multiply
    731.71x = 1,009.78 × 400.16
  4. Step 4: Simplify right side
    731.71x = 404,073.56
  5. Step 5: Solve for x
    x = 404,073.56/731.71
  6. Step 6: Final answer
    x = 552.23

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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.