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Finding the Fourth Proportional to 921.97, 1,383.02 and 459.28

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Solution

The fourth proportional to 921.97, 1,383.02 and 459.28 is: 688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.97 : 1,383.02 = 459.28 : x
  2. Step 2: Convert to fraction form
    921.97/1,383.02 = 459.28/x
  3. Step 3: Cross multiply
    921.97x = 1,383.02 × 459.28
  4. Step 4: Simplify right side
    921.97x = 635,193.43
  5. Step 5: Solve for x
    x = 635,193.43/921.97
  6. Step 6: Final answer
    x = 688.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.