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Finding the Fourth Proportional to 786.20, 1,083.24 and 523.76

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Solution

The fourth proportional to 786.20, 1,083.24 and 523.76 is: 721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.20 : 1,083.24 = 523.76 : x
  2. Step 2: Convert to fraction form
    786.20/1,083.24 = 523.76/x
  3. Step 3: Cross multiply
    786.20x = 1,083.24 × 523.76
  4. Step 4: Simplify right side
    786.20x = 567,357.78
  5. Step 5: Solve for x
    x = 567,357.78/786.20
  6. Step 6: Final answer
    x = 721.65

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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.