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Finding the Fourth Proportional to 824.48, 1,236.84 and 478

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Solution

The fourth proportional to 824.48, 1,236.84 and 478 is: 717.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.48 : 1,236.84 = 478 : x
  2. Step 2: Convert to fraction form
    824.48/1,236.84 = 478/x
  3. Step 3: Cross multiply
    824.48x = 1,236.84 × 478
  4. Step 4: Simplify right side
    824.48x = 591,209.52
  5. Step 5: Solve for x
    x = 591,209.52/824.48
  6. Step 6: Final answer
    x = 717.07

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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.