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Finding the Fourth Proportional to 821.12, 1,230.24 and 803.84

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Solution

The fourth proportional to 821.12, 1,230.24 and 803.84 is: 1,204.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.12 : 1,230.24 = 803.84 : x
  2. Step 2: Convert to fraction form
    821.12/1,230.24 = 803.84/x
  3. Step 3: Cross multiply
    821.12x = 1,230.24 × 803.84
  4. Step 4: Simplify right side
    821.12x = 988,916.12
  5. Step 5: Solve for x
    x = 988,916.12/821.12
  6. Step 6: Final answer
    x = 1,204.35

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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.