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Finding the Fourth Proportional to 784.97, 1,083.02 and 523.03

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Solution

The fourth proportional to 784.97, 1,083.02 and 523.03 is: 721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.97 : 1,083.02 = 523.03 : x
  2. Step 2: Convert to fraction form
    784.97/1,083.02 = 523.03/x
  3. Step 3: Cross multiply
    784.97x = 1,083.02 × 523.03
  4. Step 4: Simplify right side
    784.97x = 566,449.34
  5. Step 5: Solve for x
    x = 566,449.34/784.97
  6. Step 6: Final answer
    x = 721.62

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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.