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Finding the Fourth Proportional to 824.28, 1,236.48 and 478.02

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Solution

The fourth proportional to 824.28, 1,236.48 and 478.02 is: 717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.28 : 1,236.48 = 478.02 : x
  2. Step 2: Convert to fraction form
    824.28/1,236.48 = 478.02/x
  3. Step 3: Cross multiply
    824.28x = 1,236.48 × 478.02
  4. Step 4: Simplify right side
    824.28x = 591,062.17
  5. Step 5: Solve for x
    x = 591,062.17/824.28
  6. Step 6: Final answer
    x = 717.06

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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.