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Finding the Fourth Proportional to 731.34, 1,009.23 and 399.76

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Solution

The fourth proportional to 731.34, 1,009.23 and 399.76 is: 551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.34 : 1,009.23 = 399.76 : x
  2. Step 2: Convert to fraction form
    731.34/1,009.23 = 399.76/x
  3. Step 3: Cross multiply
    731.34x = 1,009.23 × 399.76
  4. Step 4: Simplify right side
    731.34x = 403,449.78
  5. Step 5: Solve for x
    x = 403,449.78/731.34
  6. Step 6: Final answer
    x = 551.66

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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.