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Finding the Fourth Proportional to 731.35, 1,009.24 and 399.77

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Solution

The fourth proportional to 731.35, 1,009.24 and 399.77 is: 551.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.35 : 1,009.24 = 399.77 : x
  2. Step 2: Convert to fraction form
    731.35/1,009.24 = 399.77/x
  3. Step 3: Cross multiply
    731.35x = 1,009.24 × 399.77
  4. Step 4: Simplify right side
    731.35x = 403,467.29
  5. Step 5: Solve for x
    x = 403,467.29/731.35
  6. Step 6: Final answer
    x = 551.68

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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.