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Finding the Fourth Proportional to 731.83, 1,009.90 and 400.25

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Solution

The fourth proportional to 731.83, 1,009.90 and 400.25 is: 552.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.83 : 1,009.90 = 400.25 : x
  2. Step 2: Convert to fraction form
    731.83/1,009.90 = 400.25/x
  3. Step 3: Cross multiply
    731.83x = 1,009.90 × 400.25
  4. Step 4: Simplify right side
    731.83x = 404,207.57
  5. Step 5: Solve for x
    x = 404,207.57/731.83
  6. Step 6: Final answer
    x = 552.32

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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.