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Finding the Fourth Proportional to 817.02, 1,224.49 and 524.41

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Solution

The fourth proportional to 817.02, 1,224.49 and 524.41 is: 785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.02 : 1,224.49 = 524.41 : x
  2. Step 2: Convert to fraction form
    817.02/1,224.49 = 524.41/x
  3. Step 3: Cross multiply
    817.02x = 1,224.49 × 524.41
  4. Step 4: Simplify right side
    817.02x = 642,134.80
  5. Step 5: Solve for x
    x = 642,134.80/817.02
  6. Step 6: Final answer
    x = 785.95

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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.