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Finding the Fourth Proportional to 820.93, 1,229.43 and 473.54

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Solution

The fourth proportional to 820.93, 1,229.43 and 473.54 is: 709.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.93 : 1,229.43 = 473.54 : x
  2. Step 2: Convert to fraction form
    820.93/1,229.43 = 473.54/x
  3. Step 3: Cross multiply
    820.93x = 1,229.43 × 473.54
  4. Step 4: Simplify right side
    820.93x = 582,178.14
  5. Step 5: Solve for x
    x = 582,178.14/820.93
  6. Step 6: Final answer
    x = 709.17

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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.