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Finding the Fourth Proportional to 821.96, 1,233.84 and 457.64

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Solution

The fourth proportional to 821.96, 1,233.84 and 457.64 is: 686.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.96 : 1,233.84 = 457.64 : x
  2. Step 2: Convert to fraction form
    821.96/1,233.84 = 457.64/x
  3. Step 3: Cross multiply
    821.96x = 1,233.84 × 457.64
  4. Step 4: Simplify right side
    821.96x = 564,654.54
  5. Step 5: Solve for x
    x = 564,654.54/821.96
  6. Step 6: Final answer
    x = 686.96

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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.