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Finding the Fourth Proportional to 824.68, 1,236.06 and 458.92

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Solution

The fourth proportional to 824.68, 1,236.06 and 458.92 is: 687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.68 : 1,236.06 = 458.92 : x
  2. Step 2: Convert to fraction form
    824.68/1,236.06 = 458.92/x
  3. Step 3: Cross multiply
    824.68x = 1,236.06 × 458.92
  4. Step 4: Simplify right side
    824.68x = 567,252.66
  5. Step 5: Solve for x
    x = 567,252.66/824.68
  6. Step 6: Final answer
    x = 687.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.