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Finding the Fourth Proportional to 731.91, 1,010.04 and 400.36

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Solution

The fourth proportional to 731.91, 1,010.04 and 400.36 is: 552.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.91 : 1,010.04 = 400.36 : x
  2. Step 2: Convert to fraction form
    731.91/1,010.04 = 400.36/x
  3. Step 3: Cross multiply
    731.91x = 1,010.04 × 400.36
  4. Step 4: Simplify right side
    731.91x = 404,382.38
  5. Step 5: Solve for x
    x = 404,382.38/731.91
  6. Step 6: Final answer
    x = 552.51

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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.