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Finding the Fourth Proportional to 821.33, 1,230.14 and 473.84

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Solution

The fourth proportional to 821.33, 1,230.14 and 473.84 is: 709.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.33 : 1,230.14 = 473.84 : x
  2. Step 2: Convert to fraction form
    821.33/1,230.14 = 473.84/x
  3. Step 3: Cross multiply
    821.33x = 1,230.14 × 473.84
  4. Step 4: Simplify right side
    821.33x = 582,889.54
  5. Step 5: Solve for x
    x = 582,889.54/821.33
  6. Step 6: Final answer
    x = 709.69

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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.