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Finding the Fourth Proportional to 731.29, 1,009.16 and 399.71

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Solution

The fourth proportional to 731.29, 1,009.16 and 399.71 is: 551.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.29 : 1,009.16 = 399.71 : x
  2. Step 2: Convert to fraction form
    731.29/1,009.16 = 399.71/x
  3. Step 3: Cross multiply
    731.29x = 1,009.16 × 399.71
  4. Step 4: Simplify right side
    731.29x = 403,366.30
  5. Step 5: Solve for x
    x = 403,366.30/731.29
  6. Step 6: Final answer
    x = 551.58

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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.