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Finding the Fourth Proportional to 731.02, 1,008.74 and 399.45

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Solution

The fourth proportional to 731.02, 1,008.74 and 399.45 is: 551.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.02 : 1,008.74 = 399.45 : x
  2. Step 2: Convert to fraction form
    731.02/1,008.74 = 399.45/x
  3. Step 3: Cross multiply
    731.02x = 1,008.74 × 399.45
  4. Step 4: Simplify right side
    731.02x = 402,936.15
  5. Step 5: Solve for x
    x = 402,936.15/731.02
  6. Step 6: Final answer
    x = 551.20

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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.