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Finding the Fourth Proportional to 821.28, 1,233.84 and 709.92

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Solution

The fourth proportional to 821.28, 1,233.84 and 709.92 is: 1,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.28 : 1,233.84 = 709.92 : x
  2. Step 2: Convert to fraction form
    821.28/1,233.84 = 709.92/x
  3. Step 3: Cross multiply
    821.28x = 1,233.84 × 709.92
  4. Step 4: Simplify right side
    821.28x = 875,927.69
  5. Step 5: Solve for x
    x = 875,927.69/821.28
  6. Step 6: Final answer
    x = 1,066.54

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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.