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Finding the Fourth Proportional to 824.08, 1,237.20 and 477.76

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Solution

The fourth proportional to 824.08, 1,237.20 and 477.76 is: 717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.08 : 1,237.20 = 477.76 : x
  2. Step 2: Convert to fraction form
    824.08/1,237.20 = 477.76/x
  3. Step 3: Cross multiply
    824.08x = 1,237.20 × 477.76
  4. Step 4: Simplify right side
    824.08x = 591,084.67
  5. Step 5: Solve for x
    x = 591,084.67/824.08
  6. Step 6: Final answer
    x = 717.27

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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.