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Finding the Fourth Proportional to 821.64, 1,230.81 and 382.28

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Solution

The fourth proportional to 821.64, 1,230.81 and 382.28 is: 572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.64 : 1,230.81 = 382.28 : x
  2. Step 2: Convert to fraction form
    821.64/1,230.81 = 382.28/x
  3. Step 3: Cross multiply
    821.64x = 1,230.81 × 382.28
  4. Step 4: Simplify right side
    821.64x = 470,507.89
  5. Step 5: Solve for x
    x = 470,507.89/821.64
  6. Step 6: Final answer
    x = 572.64

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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.